diff --git a/libcxx/include/__iterator/concepts.h b/libcxx/include/__iterator/concepts.h
--- a/libcxx/include/__iterator/concepts.h
+++ b/libcxx/include/__iterator/concepts.h
@@ -104,6 +104,14 @@
   requires { typename _ITER_CONCEPT<_Ip>; } &&
   derived_from<_ITER_CONCEPT<_Ip>, input_iterator_tag>;
 
+// [iterator.concept.forward]
+template<class _Ip>
+concept forward_iterator =
+  input_iterator<_Ip> &&
+  derived_from<_ITER_CONCEPT<_Ip>, forward_iterator_tag> &&
+  incrementable<_Ip> &&
+  sentinel_for<_Ip, _Ip>;
+
 // clang-format on
 
 #endif // !defined(_LIBCPP_HAS_NO_RANGES)
diff --git a/libcxx/include/__ranges/concepts.h b/libcxx/include/__ranges/concepts.h
--- a/libcxx/include/__ranges/concepts.h
+++ b/libcxx/include/__ranges/concepts.h
@@ -55,6 +55,9 @@
 template <class _Tp>
 concept input_range = range<_Tp>&& input_iterator<iterator_t<_Tp> >;
 
+template <class _Tp>
+concept forward_range = input_range<_Tp>&& forward_iterator<iterator_t<_Tp> >;
+
 } // namespace ranges
 
 #endif // !defined(_LIBCPP_HAS_NO_RANGES)
diff --git a/libcxx/include/iterator b/libcxx/include/iterator
--- a/libcxx/include/iterator
+++ b/libcxx/include/iterator
@@ -72,6 +72,10 @@
 template<class I>
   concept input_iterator = see below;                      // since C++20
 
+// [iterator.concept.forward], concept forward_­iterator
+template<class I>
+  concept forward_iterator = see below;                    // since C++20
+
 template<class Category, class T, class Distance = ptrdiff_t,
          class Pointer = T*, class Reference = T&>
 struct iterator
diff --git a/libcxx/include/ranges b/libcxx/include/ranges
--- a/libcxx/include/ranges
+++ b/libcxx/include/ranges
@@ -47,6 +47,9 @@
   // [range.refinements], other range refinements
   template<class T>
     concept input_range = see below;
+
+  template<class T>
+    concept forward_range = see below;
 }
 
 */
diff --git a/libcxx/test/std/iterators/iterator.requirements/iterator.concepts/iterator.concept.forward/forward_iterator.compile.pass.cpp b/libcxx/test/std/iterators/iterator.requirements/iterator.concepts/iterator.concept.forward/forward_iterator.compile.pass.cpp
new file mode 100644
--- /dev/null
+++ b/libcxx/test/std/iterators/iterator.requirements/iterator.concepts/iterator.concept.forward/forward_iterator.compile.pass.cpp
@@ -0,0 +1,169 @@
+//===----------------------------------------------------------------------===//
+//
+// 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, c++11, c++14, c++17
+// UNSUPPORTED: libcpp-no-concepts
+// UNSUPPORTED: gcc-10
+
+// template<class T>
+// concept forward_iterator;
+
+#include <iterator>
+
+#include <array>
+#include <concepts>
+#include <deque>
+#ifndef _LIBCPP_HAS_NO_FILESYSTEM_LIBRARY
+#include <filesystem>
+#endif
+#include <forward_list>
+#include <list>
+#include <map>
+#include <memory>
+#include <set>
+#include <string>
+#include <string_view>
+#include <optional>
+#include <unordered_map>
+#include <unordered_set>
+#include <vector>
+
+#include "test_iterators.h"
+
+namespace standard_types {
+static_assert(std::forward_iterator<int*>);
+static_assert(std::forward_iterator<int const*>);
+static_assert(std::forward_iterator<int volatile*>);
+static_assert(std::forward_iterator<int const volatile*>);
+
+// <array>
+static_assert(std::forward_iterator<std::array<int, 10>::iterator>);
+static_assert(std::forward_iterator<std::array<int, 10>::const_iterator>);
+static_assert(std::forward_iterator<std::array<int, 10>::reverse_iterator>);
+static_assert(
+    std::forward_iterator<std::array<int, 10>::const_reverse_iterator>);
+
+// <deque>
+static_assert(std::forward_iterator<std::deque<int>::iterator>);
+static_assert(std::forward_iterator<std::deque<int>::const_iterator>);
+static_assert(std::forward_iterator<std::deque<int>::reverse_iterator>);
+static_assert(std::forward_iterator<std::deque<int>::const_reverse_iterator>);
+
+// <filesystem>
+#ifndef _LIBCPP_HAS_NO_FILESYSTEM_LIBRARY
+static_assert(!std::forward_iterator<std::filesystem::directory_iterator>);
+static_assert(
+    !std::forward_iterator<std::filesystem::recursive_directory_iterator>);
+#endif
+
+// <forward_list>
+static_assert(std::forward_iterator<std::forward_list<int>::iterator>);
+static_assert(std::forward_iterator<std::forward_list<int>::const_iterator>);
+
+// <iterator>
+static_assert(
+    !std::forward_iterator<std::back_insert_iterator<std::vector<int> > >);
+static_assert(
+    !std::forward_iterator<std::front_insert_iterator<std::deque<int> > >);
+static_assert(!std::forward_iterator<std::insert_iterator<std::deque<int> > >);
+static_assert(
+    !std::forward_iterator<std::move_iterator<std::vector<int>::iterator> >);
+
+// <list>
+static_assert(std::forward_iterator<std::list<int>::iterator>);
+static_assert(std::forward_iterator<std::list<int>::const_iterator>);
+static_assert(std::forward_iterator<std::list<int>::reverse_iterator>);
+static_assert(std::forward_iterator<std::list<int>::const_reverse_iterator>);
+
+// <map>
+static_assert(std::forward_iterator<std::map<int, int>::iterator>);
+static_assert(std::forward_iterator<std::map<int, int>::const_iterator>);
+static_assert(std::forward_iterator<std::map<int, int>::reverse_iterator>);
+static_assert(
+    std::forward_iterator<std::map<int, int>::const_reverse_iterator>);
+
+static_assert(std::forward_iterator<std::multimap<int, int>::iterator>);
+static_assert(std::forward_iterator<std::multimap<int, int>::const_iterator>);
+static_assert(std::forward_iterator<std::multimap<int, int>::reverse_iterator>);
+static_assert(
+    std::forward_iterator<std::multimap<int, int>::const_reverse_iterator>);
+
+// <memory>
+static_assert(!std::forward_iterator<std::shared_ptr<int> >);
+static_assert(!std::forward_iterator<std::shared_ptr<void> >);
+static_assert(!std::forward_iterator<std::unique_ptr<int> >);
+static_assert(!std::forward_iterator<std::unique_ptr<void> >);
+
+// <optional>
+static_assert(!std::forward_iterator<std::optional<int> >);
+
+// <set>
+static_assert(std::forward_iterator<std::set<int>::iterator>);
+static_assert(std::forward_iterator<std::set<int>::const_iterator>);
+static_assert(std::forward_iterator<std::set<int>::reverse_iterator>);
+static_assert(std::forward_iterator<std::set<int>::const_reverse_iterator>);
+
+static_assert(std::forward_iterator<std::multiset<int>::iterator>);
+static_assert(std::forward_iterator<std::multiset<int>::const_iterator>);
+static_assert(std::forward_iterator<std::multiset<int>::reverse_iterator>);
+static_assert(
+    std::forward_iterator<std::multiset<int>::const_reverse_iterator>);
+
+// <string>
+static_assert(std::forward_iterator<std::string::iterator>);
+static_assert(std::forward_iterator<std::string::const_iterator>);
+static_assert(std::forward_iterator<std::string::reverse_iterator>);
+static_assert(std::forward_iterator<std::string::const_reverse_iterator>);
+
+// <string_view>
+static_assert(std::forward_iterator<std::string_view::iterator>);
+static_assert(std::forward_iterator<std::string_view::const_iterator>);
+static_assert(std::forward_iterator<std::string_view::reverse_iterator>);
+static_assert(std::forward_iterator<std::string_view::const_reverse_iterator>);
+
+// <unordered_map>
+static_assert(std::forward_iterator<std::unordered_map<int, int>::iterator>);
+static_assert(
+    std::forward_iterator<std::unordered_map<int, int>::const_iterator>);
+
+static_assert(
+    std::forward_iterator<std::unordered_multimap<int, int>::iterator>);
+static_assert(
+    std::forward_iterator<std::unordered_multimap<int, int>::const_iterator>);
+
+// <unordered_set>
+static_assert(std::forward_iterator<std::unordered_set<int>::iterator>);
+static_assert(std::forward_iterator<std::unordered_set<int>::const_iterator>);
+
+static_assert(
+    std::forward_iterator<std::unordered_multiset<int, int>::iterator>);
+static_assert(
+    std::forward_iterator<std::unordered_multiset<int, int>::const_iterator>);
+
+// <vector>
+static_assert(std::forward_iterator<std::vector<int>::iterator>);
+static_assert(std::forward_iterator<std::vector<int>::const_iterator>);
+static_assert(std::forward_iterator<std::vector<int>::reverse_iterator>);
+static_assert(std::forward_iterator<std::vector<int>::const_reverse_iterator>);
+static_assert(!std::forward_iterator<std::vector<int> >);
+} // namespace standard_types
+
+static_assert(!std::forward_iterator<noncopyable_input_iterator>);
+
+struct not_input_iterator {
+  using difference_type = std::ptrdiff_t;
+  using iterator_concept = std::forward_iterator_tag;
+
+  int operator*() const;
+
+  not_input_iterator& operator++();
+  not_input_iterator operator++(int);
+};
+static_assert(std::input_or_output_iterator<not_input_iterator> &&
+              !std::input_iterator<not_input_iterator> &&
+              !std::forward_iterator<not_input_iterator>);
diff --git a/libcxx/test/std/ranges/range.refinements/subsumption.compile.pass.cpp b/libcxx/test/std/iterators/iterator.requirements/iterator.concepts/iterator.concept.forward/subsumption.compile.pass.cpp
copy from libcxx/test/std/ranges/range.refinements/subsumption.compile.pass.cpp
copy to libcxx/test/std/iterators/iterator.requirements/iterator.concepts/iterator.concept.forward/subsumption.compile.pass.cpp
--- a/libcxx/test/std/ranges/range.refinements/subsumption.compile.pass.cpp
+++ b/libcxx/test/std/iterators/iterator.requirements/iterator.concepts/iterator.concept.forward/subsumption.compile.pass.cpp
@@ -11,29 +11,24 @@
 // UNSUPPORTED: gcc-10
 
 // template<class T>
-// concept input_iterator;
-
-#include <ranges>
+// concept forward_iterator;
 
 #include <iterator>
 
-struct range {
-  int* begin();
-  int* end();
-};
+#include <concepts>
 
 // clang-format off
-template<std::ranges::range R>
-requires std::input_iterator<std::ranges::iterator_t<R> >
-[[nodiscard]] constexpr bool check_input_range_subsumption() {
+template<std::input_iterator I>
+requires std::derived_from<std::_ITER_CONCEPT<I>, std::forward_iterator_tag>
+[[nodiscard]] constexpr bool check_subsumption() {
   return false;
 }
 
-template<std::ranges::input_range>
+template<std::forward_iterator>
 requires true
-[[nodiscard]] constexpr bool check_input_range_subsumption() {
+[[nodiscard]] constexpr bool check_subsumption() {
   return true;
 }
 // clang-format on
 
-static_assert(check_input_range_subsumption<range>());
+static_assert(check_subsumption<int*>());
diff --git a/libcxx/test/std/ranges/range.refinements/forward_range.compile.pass.cpp b/libcxx/test/std/ranges/range.refinements/forward_range.compile.pass.cpp
new file mode 100644
--- /dev/null
+++ b/libcxx/test/std/ranges/range.refinements/forward_range.compile.pass.cpp
@@ -0,0 +1,67 @@
+//===----------------------------------------------------------------------===//
+//
+// 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, c++11, c++14, c++17
+// UNSUPPORTED: libcpp-no-concepts
+// UNSUPPORTED: gcc-10
+
+// template<range _Rp>
+// concept forward_range;
+
+#include <ranges>
+
+#include <array>
+#include <deque>
+#include <forward_list>
+#include <list>
+#include <map>
+#include <set>
+#include <string>
+#include <string_view>
+#include <unordered_map>
+#include <unordered_set>
+#include <vector>
+
+#include "test_range.h"
+
+namespace stdr = std::ranges;
+
+static_assert(stdr::forward_range<std::array<int, 10> >);
+static_assert(stdr::forward_range<std::deque<int> >);
+static_assert(stdr::forward_range<std::forward_list<int> >);
+static_assert(stdr::forward_range<std::list<int> >);
+static_assert(stdr::forward_range<std::map<int, long> >);
+static_assert(stdr::forward_range<std::multimap<int, long> >);
+static_assert(stdr::forward_range<std::multiset<int> >);
+static_assert(stdr::forward_range<std::set<int> >);
+static_assert(stdr::forward_range<std::string>);
+static_assert(stdr::forward_range<std::string_view>);
+static_assert(stdr::forward_range<std::unordered_map<int, long> >);
+static_assert(stdr::forward_range<std::unordered_multimap<int, long> >);
+static_assert(stdr::forward_range<std::unordered_multiset<int> >);
+static_assert(stdr::forward_range<std::unordered_set<int> >);
+static_assert(stdr::forward_range<std::vector<int> >);
+
+static_assert(stdr::forward_range<forward_range<std::array<int, 10> > >);
+static_assert(stdr::forward_range<forward_range<std::deque<int> > >);
+static_assert(stdr::forward_range<forward_range<std::forward_list<int> > >);
+static_assert(stdr::forward_range<forward_range<std::list<int> > >);
+static_assert(stdr::forward_range<forward_range<std::map<int, long> > >);
+static_assert(stdr::forward_range<forward_range<std::multimap<int, long> > >);
+static_assert(stdr::forward_range<forward_range<std::multiset<int> > >);
+static_assert(stdr::forward_range<forward_range<std::set<int> > >);
+static_assert(stdr::forward_range<forward_range<std::string> >);
+static_assert(stdr::forward_range<forward_range<std::string_view> >);
+static_assert(
+    stdr::forward_range<forward_range<std::unordered_map<int, long> > >);
+static_assert(
+    stdr::forward_range<forward_range<std::unordered_multimap<int, long> > >);
+static_assert(
+    stdr::forward_range<forward_range<std::unordered_multiset<int> > >);
+static_assert(stdr::forward_range<forward_range<std::unordered_set<int> > >);
+static_assert(stdr::forward_range<forward_range<std::vector<int> > >);
diff --git a/libcxx/test/std/ranges/range.refinements/subsumption.compile.pass.cpp b/libcxx/test/std/ranges/range.refinements/subsumption.compile.pass.cpp
--- a/libcxx/test/std/ranges/range.refinements/subsumption.compile.pass.cpp
+++ b/libcxx/test/std/ranges/range.refinements/subsumption.compile.pass.cpp
@@ -37,3 +37,19 @@
 // clang-format on
 
 static_assert(check_input_range_subsumption<range>());
+
+// clang-format off
+template<std::ranges::input_range R>
+requires std::forward_iterator<std::ranges::iterator_t<R> >
+[[nodiscard]] constexpr bool check_forward_range_subsumption() {
+  return false;
+}
+
+template<std::ranges::forward_range>
+requires true
+[[nodiscard]] constexpr bool check_forward_range_subsumption() {
+  return true;
+}
+// clang-format on
+
+static_assert(check_forward_range_subsumption<range>());
diff --git a/libcxx/test/support/test_range.h b/libcxx/test/support/test_range.h
--- a/libcxx/test/support/test_range.h
+++ b/libcxx/test/support/test_range.h
@@ -35,4 +35,12 @@
   sentinel end() const;
 };
 
+template <class R>
+struct forward_range {
+  forward_iterator<std::ranges::iterator_t<R> > begin();
+  forward_iterator<std::ranges::iterator_t<R const> > begin() const;
+  sentinel end();
+  sentinel end() const;
+};
+
 #endif // LIBCXX_TEST_SUPPORT_TEST_RANGE_H