diff --git a/libcxx/docs/ReleaseNotes.rst b/libcxx/docs/ReleaseNotes.rst
index 01bc2a1d57cf..ea7235e4abf8 100644
--- a/libcxx/docs/ReleaseNotes.rst
+++ b/libcxx/docs/ReleaseNotes.rst
@@ -69,11 +69,6 @@ API Changes
 - The C++14 function ``std::quoted(const char*)`` is no longer supported in
   C++03 or C++11 modes.
 
-- libc++ no longer supports containers of ``const``-qualified element type,
-  such as ``vector<const T>`` and ``list<const T>``. This used to be supported
-  as an extension. Likewise, ``std::allocator<const T>`` is no longer supported.
-  If you were using ``vector<const T>``, replace it with ``vector<T>`` instead.
-
 ABI Changes
 -----------
 
diff --git a/libcxx/include/__memory/allocator.h b/libcxx/include/__memory/allocator.h
index 4b5df0d17fcd..915ff7c3a516 100644
--- a/libcxx/include/__memory/allocator.h
+++ b/libcxx/include/__memory/allocator.h
@@ -37,6 +37,17 @@ public:
 
     template <class _Up> struct _LIBCPP_DEPRECATED_IN_CXX17 rebind {typedef allocator<_Up> other;};
 };
+
+template <>
+class _LIBCPP_TEMPLATE_VIS allocator<const void>
+{
+public:
+    _LIBCPP_DEPRECATED_IN_CXX17 typedef const void*       pointer;
+    _LIBCPP_DEPRECATED_IN_CXX17 typedef const void*       const_pointer;
+    _LIBCPP_DEPRECATED_IN_CXX17 typedef const void        value_type;
+
+    template <class _Up> struct _LIBCPP_DEPRECATED_IN_CXX17 rebind {typedef allocator<_Up> other;};
+};
 #endif
 
 // This class provides a non-trivial default constructor to the class that derives from it
@@ -69,7 +80,6 @@ template <class _Tp>
 class _LIBCPP_TEMPLATE_VIS allocator
     : private __non_trivial_if<!is_void<_Tp>::value, allocator<_Tp> >
 {
-    static_assert(!is_const<_Tp>::value, "std::allocator does not support const types");
     static_assert(!is_volatile<_Tp>::value, "std::allocator does not support volatile types");
 public:
     typedef size_t      size_type;
@@ -148,6 +158,84 @@ public:
 #endif
 };
 
+template <class _Tp>
+class _LIBCPP_TEMPLATE_VIS allocator<const _Tp>
+    : private __non_trivial_if<!is_void<_Tp>::value, allocator<const _Tp> >
+{
+    static_assert(!is_volatile<_Tp>::value, "std::allocator does not support volatile types");
+public:
+    typedef size_t      size_type;
+    typedef ptrdiff_t   difference_type;
+    typedef const _Tp   value_type;
+    typedef true_type   propagate_on_container_move_assignment;
+    typedef true_type   is_always_equal;
+
+    _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+    allocator() _NOEXCEPT = default;
+
+    template <class _Up>
+    _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+    allocator(const allocator<_Up>&) _NOEXCEPT { }
+
+    _LIBCPP_NODISCARD_AFTER_CXX17 _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+    const _Tp* allocate(size_t __n) {
+        if (__n > allocator_traits<allocator>::max_size(*this))
+            __throw_bad_array_new_length();
+        if (__libcpp_is_constant_evaluated()) {
+            return static_cast<const _Tp*>(::operator new(__n * sizeof(_Tp)));
+        } else {
+            return static_cast<const _Tp*>(_VSTD::__libcpp_allocate(__n * sizeof(_Tp), _LIBCPP_ALIGNOF(_Tp)));
+        }
+    }
+
+    _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
+    void deallocate(const _Tp* __p, size_t __n) {
+        if (__libcpp_is_constant_evaluated()) {
+            ::operator delete(const_cast<_Tp*>(__p));
+        } else {
+            _VSTD::__libcpp_deallocate((void*) const_cast<_Tp *>(__p), __n * sizeof(_Tp), _LIBCPP_ALIGNOF(_Tp));
+        }
+    }
+
+    // C++20 Removed members
+#if _LIBCPP_STD_VER <= 17 || defined(_LIBCPP_ENABLE_CXX20_REMOVED_ALLOCATOR_MEMBERS)
+    _LIBCPP_DEPRECATED_IN_CXX17 typedef const _Tp* pointer;
+    _LIBCPP_DEPRECATED_IN_CXX17 typedef const _Tp* const_pointer;
+    _LIBCPP_DEPRECATED_IN_CXX17 typedef const _Tp& reference;
+    _LIBCPP_DEPRECATED_IN_CXX17 typedef const _Tp& const_reference;
+
+    template <class _Up>
+    struct _LIBCPP_DEPRECATED_IN_CXX17 rebind {
+        typedef allocator<_Up> other;
+    };
+
+    _LIBCPP_DEPRECATED_IN_CXX17 _LIBCPP_INLINE_VISIBILITY
+    const_pointer address(const_reference __x) const _NOEXCEPT {
+        return _VSTD::addressof(__x);
+    }
+
+    _LIBCPP_NODISCARD_AFTER_CXX17 _LIBCPP_INLINE_VISIBILITY _LIBCPP_DEPRECATED_IN_CXX17
+    const _Tp* allocate(size_t __n, const void*) {
+        return allocate(__n);
+    }
+
+    _LIBCPP_DEPRECATED_IN_CXX17 _LIBCPP_INLINE_VISIBILITY size_type max_size() const _NOEXCEPT {
+        return size_type(~0) / sizeof(_Tp);
+    }
+
+    template <class _Up, class... _Args>
+    _LIBCPP_DEPRECATED_IN_CXX17 _LIBCPP_INLINE_VISIBILITY
+    void construct(_Up* __p, _Args&&... __args) {
+        ::new ((void*)__p) _Up(_VSTD::forward<_Args>(__args)...);
+    }
+
+    _LIBCPP_DEPRECATED_IN_CXX17 _LIBCPP_INLINE_VISIBILITY
+    void destroy(pointer __p) {
+        __p->~_Tp();
+    }
+#endif
+};
+
 template <class _Tp, class _Up>
 inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX17
 bool operator==(const allocator<_Tp>&, const allocator<_Up>&) _NOEXCEPT {return true;}
diff --git a/libcxx/include/__memory/shared_ptr.h b/libcxx/include/__memory/shared_ptr.h
index 04bc6d61668f..7401d3a891c1 100644
--- a/libcxx/include/__memory/shared_ptr.h
+++ b/libcxx/include/__memory/shared_ptr.h
@@ -288,7 +288,7 @@ struct __shared_ptr_emplace
         : __storage_(_VSTD::move(__a))
     {
 #if _LIBCPP_STD_VER > 17
-        using _TpAlloc = typename __allocator_traits_rebind<_Alloc, remove_cv_t<_Tp>>::type;
+        using _TpAlloc = typename __allocator_traits_rebind<_Alloc, _Tp>::type;
         _TpAlloc __tmp(*__get_alloc());
         allocator_traits<_TpAlloc>::construct(__tmp, __get_elem(), _VSTD::forward<_Args>(__args)...);
 #else
@@ -305,7 +305,7 @@ struct __shared_ptr_emplace
 private:
     virtual void __on_zero_shared() _NOEXCEPT {
 #if _LIBCPP_STD_VER > 17
-        using _TpAlloc = typename __allocator_traits_rebind<_Alloc, remove_cv_t<_Tp>>::type;
+        using _TpAlloc = typename __allocator_traits_rebind<_Alloc, _Tp>::type;
         _TpAlloc __tmp(*__get_alloc());
         allocator_traits<_TpAlloc>::destroy(__tmp, __get_elem());
 #else
@@ -960,7 +960,7 @@ template<class _Tp, class ..._Args, class = __enable_if_t<!is_array<_Tp>::value>
 _LIBCPP_HIDE_FROM_ABI
 shared_ptr<_Tp> make_shared(_Args&& ...__args)
 {
-    return _VSTD::allocate_shared<_Tp>(allocator<typename remove_cv<_Tp>::type>(), _VSTD::forward<_Args>(__args)...);
+    return _VSTD::allocate_shared<_Tp>(allocator<_Tp>(), _VSTD::forward<_Args>(__args)...);
 }
 
 template<class _Tp, class _Up>
diff --git a/libcxx/include/memory b/libcxx/include/memory
index ea8ed0f9f361..1fccdacdcf86 100644
--- a/libcxx/include/memory
+++ b/libcxx/include/memory
@@ -895,17 +895,19 @@ void __construct_range_forward(_Alloc& __a, _Iter __begin1, _Iter __end1, _Ptr&
 }
 
 template <class _Alloc, class _Source, class _Dest,
+          class _RawSource = typename remove_const<_Source>::type,
+          class _RawDest = typename remove_const<_Dest>::type,
           class =
     typename enable_if<
         is_trivially_copy_constructible<_Dest>::value &&
-        is_same<typename remove_const<_Source>::type, _Dest>::value &&
+        is_same<_RawSource, _RawDest>::value &&
         (__is_default_allocator<_Alloc>::value || !__has_construct<_Alloc, _Dest*, _Source&>::value)
     >::type>
 _LIBCPP_INLINE_VISIBILITY
 void __construct_range_forward(_Alloc&, _Source* __begin1, _Source* __end1, _Dest*& __begin2) {
     ptrdiff_t _Np = __end1 - __begin1;
     if (_Np > 0) {
-        _VSTD::memcpy(__begin2, __begin1, _Np * sizeof(_Dest));
+        _VSTD::memcpy(const_cast<_RawDest*>(__begin2), __begin1, _Np * sizeof(_Dest));
         __begin2 += _Np;
     }
 }
diff --git a/libcxx/test/libcxx/containers/sequences/vector/const_value_type.pass.cpp b/libcxx/test/libcxx/containers/sequences/vector/const_value_type.pass.cpp
new file mode 100644
index 000000000000..1ad505a76d3f
--- /dev/null
+++ b/libcxx/test/libcxx/containers/sequences/vector/const_value_type.pass.cpp
@@ -0,0 +1,25 @@
+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+// UNSUPPORTED: c++03
+
+// <vector>
+
+// vector<const int> v;  // an extension
+
+#include <vector>
+#include <type_traits>
+
+#include "test_macros.h"
+
+int main(int, char**)
+{
+    std::vector<const int> v = {1, 2, 3};
+
+  return 0;
+}
diff --git a/libcxx/test/libcxx/memory/allocator_void.trivial.compile.pass.cpp b/libcxx/test/libcxx/memory/allocator_void.trivial.compile.pass.cpp
index 69a4b8943caa..f9d67c065de8 100644
--- a/libcxx/test/libcxx/memory/allocator_void.trivial.compile.pass.cpp
+++ b/libcxx/test/libcxx/memory/allocator_void.trivial.compile.pass.cpp
@@ -17,10 +17,18 @@
 #include <type_traits>
 
 typedef std::allocator<void> A1;
-struct A2 : std::allocator<void> { };
+typedef std::allocator<void const> A2;
+struct A3 : std::allocator<void> { };
+struct A4 : std::allocator<void const> { };
 
 static_assert(std::is_trivially_default_constructible<A1>::value, "");
 static_assert(std::is_trivial<A1>::value, "");
 
 static_assert(std::is_trivially_default_constructible<A2>::value, "");
 static_assert(std::is_trivial<A2>::value, "");
+
+static_assert(std::is_trivially_default_constructible<A3>::value, "");
+static_assert(std::is_trivial<A3>::value, "");
+
+static_assert(std::is_trivially_default_constructible<A4>::value, "");
+static_assert(std::is_trivial<A4>::value, "");
diff --git a/libcxx/test/libcxx/memory/allocator.cv.verify.cpp b/libcxx/test/libcxx/memory/allocator_volatile.verify.cpp
similarity index 78%
rename from libcxx/test/libcxx/memory/allocator.cv.verify.cpp
rename to libcxx/test/libcxx/memory/allocator_volatile.verify.cpp
index 6515d8ae765f..6fa7fe1b1aed 100644
--- a/libcxx/test/libcxx/memory/allocator.cv.verify.cpp
+++ b/libcxx/test/libcxx/memory/allocator_volatile.verify.cpp
@@ -6,9 +6,9 @@
 //
 //===----------------------------------------------------------------------===//
 
-// http://wg21.link/LWG2447 gives implementors freedom to reject const or volatile types in `std::allocator`.
+// http://wg21.link/LWG2447 gives implementors freedom to reject volatile types in `std::allocator`.
 
 #include <memory>
 
 std::allocator<volatile int> A1; // expected-error@*:* {{std::allocator does not support volatile types}}
-std::allocator<const int> A2; // expected-error@*:* {{std::allocator does not support const types}}
+std::allocator<const volatile int> A2; // expected-error@*:* {{std::allocator does not support volatile types}}
diff --git a/libcxx/test/std/concepts/concepts.lang/concept.default.init/default_initializable.compile.pass.cpp b/libcxx/test/std/concepts/concepts.lang/concept.default.init/default_initializable.compile.pass.cpp
index 50fe3822ff83..57d3132234f5 100644
--- a/libcxx/test/std/concepts/concepts.lang/concept.default.init/default_initializable.compile.pass.cpp
+++ b/libcxx/test/std/concepts/concepts.lang/concept.default.init/default_initializable.compile.pass.cpp
@@ -202,6 +202,9 @@ void test()
     test_not_const<std::array<      volatile int, 1>>();
     test_false    <std::array<const volatile int, 1>>();
     test_true     <std::deque<               int>>();
+#ifdef _LIBCPP_VERSION
+    test_true     <std::deque<const          int>>();
+#endif // _LIBCPP_VERSION
     test_true     <std::forward_list<int>>();
     test_true     <std::list<int>>();
     test_true     <std::vector<int>>();
@@ -220,6 +223,9 @@ void test()
 
     // Container adaptors
     test_true     <std::stack<               int>>();
+#ifdef _LIBCPP_VERSION
+    test_true     <std::stack<const          int>>();
+#endif // _LIBCPP_VERSION
     test_true     <std::queue<int>>();
     test_true     <std::priority_queue<int>>();
 
diff --git a/libcxx/test/std/utilities/memory/default.allocator/allocator.ctor.pass.cpp b/libcxx/test/std/utilities/memory/default.allocator/allocator.ctor.pass.cpp
index a278bc41ef76..6e6ff1f2d134 100644
--- a/libcxx/test/std/utilities/memory/default.allocator/allocator.ctor.pass.cpp
+++ b/libcxx/test/std/utilities/memory/default.allocator/allocator.ctor.pass.cpp
@@ -37,12 +37,12 @@ TEST_CONSTEXPR_CXX20 bool test() {
 
 int main(int, char**) {
   test<char>();
-  test<int>();
+  test<char const>();
   test<void>();
 
 #if TEST_STD_VER > 17
   static_assert(test<char>());
-  static_assert(test<int>());
+  static_assert(test<char const>());
   static_assert(test<void>());
 #endif
   return 0;
diff --git a/libcxx/test/std/utilities/memory/default.allocator/allocator.dtor.pass.cpp b/libcxx/test/std/utilities/memory/default.allocator/allocator.dtor.pass.cpp
index 69c6595c9864..a095ca102491 100644
--- a/libcxx/test/std/utilities/memory/default.allocator/allocator.dtor.pass.cpp
+++ b/libcxx/test/std/utilities/memory/default.allocator/allocator.dtor.pass.cpp
@@ -26,9 +26,15 @@ int main(int, char**)
 {
     test<int>();
     test<void>();
+#ifdef _LIBCPP_VERSION // extension
+    test<int const>();
+#endif // _LIBCPP_VERSION
 
     static_assert(test<int>());
     static_assert(test<void>());
+#ifdef _LIBCPP_VERSION // extension
+    static_assert(test<int const>());
+#endif // _LIBCPP_VERSION
 
     return 0;
 }
diff --git a/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.constexpr.size.verify.cpp b/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.constexpr.size.verify.cpp
index 13d2d65881ef..f12b6808edeb 100644
--- a/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.constexpr.size.verify.cpp
+++ b/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.constexpr.size.verify.cpp
@@ -35,5 +35,6 @@ constexpr bool test()
 int main(int, char**)
 {
     static_assert(test<double>()); // expected-error {{static_assert expression is not an integral constant expression}}
+    LIBCPP_STATIC_ASSERT(test<const double>()); // expected-error {{static_assert expression is not an integral constant expression}}
     return 0;
 }
diff --git a/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.size.pass.cpp b/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.size.pass.cpp
index 56efcacf067f..6b9b12c82242 100644
--- a/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.size.pass.cpp
+++ b/libcxx/test/std/utilities/memory/default.allocator/allocator.members/allocate.size.pass.cpp
@@ -44,6 +44,7 @@ void test()
 int main(int, char**)
 {
     test<double>();
+    LIBCPP_ONLY(test<const double>());
 
   return 0;
 }
diff --git a/libcxx/test/std/utilities/memory/default.allocator/allocator_types.deprecated_in_cxx17.verify.cpp b/libcxx/test/std/utilities/memory/default.allocator/allocator_types.deprecated_in_cxx17.verify.cpp
index 15c247a82b99..901f04730ee8 100644
--- a/libcxx/test/std/utilities/memory/default.allocator/allocator_types.deprecated_in_cxx17.verify.cpp
+++ b/libcxx/test/std/utilities/memory/default.allocator/allocator_types.deprecated_in_cxx17.verify.cpp
@@ -35,6 +35,13 @@ int main(int, char**) {
         typedef std::allocator<char>::const_reference ConstReference;   // expected-warning {{'const_reference' is deprecated}}
         typedef std::allocator<char>::rebind<int>::other Rebind;        // expected-warning {{'rebind<int>' is deprecated}}
     }
+    {
+        typedef std::allocator<char const>::pointer Pointer;                  // expected-warning {{'pointer' is deprecated}}
+        typedef std::allocator<char const>::const_pointer ConstPointer;       // expected-warning {{'const_pointer' is deprecated}}
+        typedef std::allocator<char const>::reference Reference;              // expected-warning {{'reference' is deprecated}}
+        typedef std::allocator<char const>::const_reference ConstReference;   // expected-warning {{'const_reference' is deprecated}}
+        typedef std::allocator<char const>::rebind<int>::other Rebind;        // expected-warning {{'rebind<int>' is deprecated}}
+    }
     {
         typedef std::allocator<void>::pointer Pointer;                  // expected-warning {{'pointer' is deprecated}}
         typedef std::allocator<void>::const_pointer ConstPointer;       // expected-warning {{'const_pointer' is deprecated}}
diff --git a/libcxx/test/std/utilities/memory/default.allocator/allocator_types.pass.cpp b/libcxx/test/std/utilities/memory/default.allocator/allocator_types.pass.cpp
index 5761c28da09d..74adc6943594 100644
--- a/libcxx/test/std/utilities/memory/default.allocator/allocator_types.pass.cpp
+++ b/libcxx/test/std/utilities/memory/default.allocator/allocator_types.pass.cpp
@@ -59,5 +59,8 @@ void test() {
 
 int main(int, char**) {
     test<char>();
+#ifdef _LIBCPP_VERSION
+    test<char const>(); // extension
+#endif
     return 0;
 }
diff --git a/libcxx/test/std/utilities/memory/default.allocator/allocator_types.removed_in_cxx20.verify.cpp b/libcxx/test/std/utilities/memory/default.allocator/allocator_types.removed_in_cxx20.verify.cpp
index 47cdf399ee47..1d91a022867d 100644
--- a/libcxx/test/std/utilities/memory/default.allocator/allocator_types.removed_in_cxx20.verify.cpp
+++ b/libcxx/test/std/utilities/memory/default.allocator/allocator_types.removed_in_cxx20.verify.cpp
@@ -31,16 +31,17 @@
 template <typename T>
 void check()
 {
-    typedef typename std::allocator<T>::pointer AP;                      // expected-error 2 {{no type named 'pointer'}}
-    typedef typename std::allocator<T>::const_pointer ACP;               // expected-error 2 {{no type named 'const_pointer'}}
-    typedef typename std::allocator<T>::reference AR;                    // expected-error 2 {{no type named 'reference'}}
-    typedef typename std::allocator<T>::const_reference ACR;             // expected-error 2 {{no type named 'const_reference'}}
-    typedef typename std::allocator<T>::template rebind<int>::other ARO; // expected-error 2 {{no member named 'rebind'}}
+    typedef typename std::allocator<T>::pointer AP;                      // expected-error 3 {{no type named 'pointer'}}
+    typedef typename std::allocator<T>::const_pointer ACP;               // expected-error 3 {{no type named 'const_pointer'}}
+    typedef typename std::allocator<T>::reference AR;                    // expected-error 3 {{no type named 'reference'}}
+    typedef typename std::allocator<T>::const_reference ACR;             // expected-error 3 {{no type named 'const_reference'}}
+    typedef typename std::allocator<T>::template rebind<int>::other ARO; // expected-error 3 {{no member named 'rebind'}}
 }
 
 int main(int, char**)
 {
     check<char>();
+    check<char const>();
     check<void>();
     return 0;
 }
diff --git a/libcxx/test/std/utilities/memory/specialized.algorithms/specialized.construct/construct_at.pass.cpp b/libcxx/test/std/utilities/memory/specialized.algorithms/specialized.construct/construct_at.pass.cpp
index 028eebbb974a..e7fd79796671 100644
--- a/libcxx/test/std/utilities/memory/specialized.algorithms/specialized.construct/construct_at.pass.cpp
+++ b/libcxx/test/std/utilities/memory/specialized.algorithms/specialized.construct/construct_at.pass.cpp
@@ -82,7 +82,7 @@ constexpr bool test()
     }
 
     {
-        std::allocator<Counted> a;
+        std::allocator<Counted const> a;
         Counted const* p = a.allocate(2);
         int count = 0;
         std::construct_at(p, count);
@@ -93,7 +93,7 @@ constexpr bool test()
         assert(count == 1);
         p->~Counted();
         assert(count == 0);
-        a.deallocate(const_cast<Counted*>(p), 2);
+        a.deallocate(p, 2);
     }
 
     return true;