diff --git a/libcxx/docs/Status/RangesAlgorithms.csv b/libcxx/docs/Status/RangesAlgorithms.csv
--- a/libcxx/docs/Status/RangesAlgorithms.csv
+++ b/libcxx/docs/Status/RangesAlgorithms.csv
@@ -15,11 +15,11 @@
 Search,upper_bound,Christopher Di Bella,`D105795 <https://llvm.org/D105795>`_,Under review
 Search,equal_range,Christopher Di Bella,n/a,Not started
 Search,binary_search,Christopher Di Bella,n/a,Not started
-Search,min,Not assigned,n/a,Not started
+Search,min,Nikolas Klauser,`D119589 <https://llvm.org/D119589>`_,✅
 Search,max,Not assigned,n/a,Not started
 Search,minmax,Not assigned,n/a,Not started
-Search,min_element,Nikolas Klauser,n/a,✅
-Search,max_element,Not assigned,n/a,Not started
+Search,min_element,Nikolas Klauser,`D117025 <https://llvm.org/D117025>`_,✅
+Search,max_element,Nikolas Klauser,`D117523 <https://llvm.org/D117523>`_,✅
 Search,minmax_element,Not assigned,n/a,Not started
 Search,count,Not assigned,n/a,Not started
 Search,count_if,Not assigned,n/a,Not started
diff --git a/libcxx/include/CMakeLists.txt b/libcxx/include/CMakeLists.txt
--- a/libcxx/include/CMakeLists.txt
+++ b/libcxx/include/CMakeLists.txt
@@ -67,6 +67,7 @@
   __algorithm/prev_permutation.h
   __algorithm/push_heap.h
   __algorithm/ranges_max_element.h
+  __algorithm/ranges_min.h
   __algorithm/ranges_min_element.h
   __algorithm/ranges_swap_ranges.h
   __algorithm/remove.h
diff --git a/libcxx/include/__algorithm/ranges_min.h b/libcxx/include/__algorithm/ranges_min.h
new file mode 100644
--- /dev/null
+++ b/libcxx/include/__algorithm/ranges_min.h
@@ -0,0 +1,89 @@
+//===----------------------------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP___ALGORITHM_RANGES_MIN_H
+#define _LIBCPP___ALGORITHM_RANGES_MIN_H
+
+#include <__algorithm/ranges_min_element.h>
+#include <__assert>
+#include <__concepts/copyable.h>
+#include <__config>
+#include <__functional/identity.h>
+#include <__functional/invoke.h>
+#include <__functional/ranges_operations.h>
+#include <__iterator/concepts.h>
+#include <__iterator/projected.h>
+#include <__ranges/access.h>
+#include <__ranges/concepts.h>
+#include <initializer_list>
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#  pragma GCC system_header
+#endif
+
+#if !defined(_LIBCPP_HAS_NO_CONCEPTS) && !defined(_LIBCPP_HAS_NO_INCOMPLETE_RANGES)
+
+_LIBCPP_PUSH_MACROS
+#include <__undef_macros>
+
+_LIBCPP_BEGIN_NAMESPACE_STD
+
+namespace ranges {
+namespace __min {
+struct __fn {
+  template <class _Tp, class _Proj = identity,
+            indirect_strict_weak_order<projected<const _Tp*, _Proj>> _Comp = ranges::less>
+  _LIBCPP_HIDE_FROM_ABI constexpr
+  const _Tp& operator()(const _Tp& __a, const _Tp& __b, _Comp __comp = {}, _Proj __proj = {}) const {
+    return std::invoke(__comp, std::invoke(__proj, __a), std::invoke(__proj, __b)) ? __a : __b;
+  }
+
+  template <copyable _Tp, class _Proj = identity,
+            indirect_strict_weak_order<projected<const _Tp*, _Proj>> _Comp = ranges::less>
+  _LIBCPP_HIDE_FROM_ABI constexpr
+  _Tp operator()(initializer_list<_Tp> __r, _Comp __comp = {}, _Proj __proj = {}) const {
+    _LIBCPP_ASSERT(ranges::begin(__r) != ranges::end(__r), "initializer_list must contain at least one element");
+    return *ranges::__min_element::__fn::__go(ranges::begin(__r), ranges::end(__r), __comp, __proj);
+  }
+
+  template <input_range _Rp, class _Proj = identity,
+            indirect_strict_weak_order<projected<iterator_t<_Rp>, _Proj>> _Comp = ranges::less>
+    requires indirectly_copyable_storable<iterator_t<_Rp>, range_value_t<_Rp>*>
+  _LIBCPP_HIDE_FROM_ABI constexpr
+  range_value_t<_Rp> operator()(_Rp&& __r, _Comp __comp = {}, _Proj __proj = {}) const {
+    auto __first = ranges::begin(__r);
+    auto __last = ranges::end(__r);
+
+    _LIBCPP_ASSERT(__first != __last, "range must contain at least one element");
+
+    if constexpr (forward_range<_Rp>) {
+      return *ranges::__min_element::__fn::__go(__first, __last, __comp, __proj);
+    } else {
+      range_value_t<_Rp> __result = *__first;
+      while (++__first != __last) {
+        if (std::invoke(__comp, std::invoke(__proj, *__first), std::invoke(__proj, __result)))
+          __result = *__first;
+      }
+      return __result;
+    }
+  }
+};
+} // namespace __min
+
+inline namespace __cpo {
+  inline constexpr auto min = __min::__fn{};
+} // namespace __cpo
+} // namespace ranges
+
+_LIBCPP_END_NAMESPACE_STD
+
+_LIBCPP_POP_MACROS
+
+#endif // !defined(_LIBCPP_HAS_NO_CONCEPTS) && !defined(_LIBCPP_HAS_NO_INCOMPLETE_RANGES)
+
+#endif // _LIBCPP___ALGORITHM_RANGES_MIN_H
diff --git a/libcxx/include/__ranges/take_view.h b/libcxx/include/__ranges/take_view.h
--- a/libcxx/include/__ranges/take_view.h
+++ b/libcxx/include/__ranges/take_view.h
@@ -9,7 +9,7 @@
 #ifndef _LIBCPP___RANGES_TAKE_VIEW_H
 #define _LIBCPP___RANGES_TAKE_VIEW_H
 
-#include <__algorithm/min.h>
+#include <__algorithm/ranges_min.h>
 #include <__config>
 #include <__iterator/concepts.h>
 #include <__iterator/counted_iterator.h>
@@ -118,15 +118,13 @@
     _LIBCPP_HIDE_FROM_ABI
     constexpr auto size() requires sized_range<_View> {
       auto __n = ranges::size(__base_);
-      // TODO: use ranges::min here.
-      return std::min(__n, static_cast<decltype(__n)>(__count_));
+      return ranges::min(__n, static_cast<decltype(__n)>(__count_));
     }
 
     _LIBCPP_HIDE_FROM_ABI
     constexpr auto size() const requires sized_range<const _View> {
       auto __n = ranges::size(__base_);
-      // TODO: use ranges::min here.
-      return std::min(__n, static_cast<decltype(__n)>(__count_));
+      return ranges::min(__n, static_cast<decltype(__n)>(__count_));
     }
   };
 
diff --git a/libcxx/include/algorithm b/libcxx/include/algorithm
--- a/libcxx/include/algorithm
+++ b/libcxx/include/algorithm
@@ -44,6 +44,18 @@
   template<forward_range R, class Proj = identity,
     indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less> // since C++20
   constexpr borrowed_iterator_t<R> min_element(R&& r, Comp comp = {}, Proj proj = {});
+
+  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
+    indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
+    constexpr I min(I first, S last, Comp comp = {}, Proj proj = {});                    // since C++20
+
+  template<copyable T, class Proj = identity,
+           indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
+    constexpr T min(initializer_list<T> r, Comp comp = {}, Proj proj = {});              // since C++20
+
+  template<forward_range R, class Proj = identity,
+           indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
+    constexpr borrowed_iterator_t<R> min(R&& r, Comp comp = {}, Proj proj = {});         // since C++20
 }
 
 template <class InputIterator, class Predicate>
@@ -764,6 +776,7 @@
 #include <__algorithm/prev_permutation.h>
 #include <__algorithm/push_heap.h>
 #include <__algorithm/ranges_max_element.h>
+#include <__algorithm/ranges_min.h>
 #include <__algorithm/ranges_min_element.h>
 #include <__algorithm/ranges_swap_ranges.h>
 #include <__algorithm/remove.h>
diff --git a/libcxx/include/module.modulemap b/libcxx/include/module.modulemap
--- a/libcxx/include/module.modulemap
+++ b/libcxx/include/module.modulemap
@@ -295,6 +295,7 @@
       module prev_permutation         { private header "__algorithm/prev_permutation.h" }
       module push_heap                { private header "__algorithm/push_heap.h" }
       module ranges_max_element       { private header "__algorithm/ranges_max_element.h" }
+      module ranges_min               { private header "__algorithm/ranges_min.h" }
       module ranges_min_element       { private header "__algorithm/ranges_min_element.h" }
       module ranges_swap_ranges       { private header "__algorithm/ranges_swap_ranges.h" }
       module remove                   { private header "__algorithm/remove.h" }
diff --git a/libcxx/test/libcxx/diagnostics/detail.headers/algorithm/ranges_min.module.verify.cpp b/libcxx/test/libcxx/diagnostics/detail.headers/algorithm/ranges_min.module.verify.cpp
new file mode 100644
--- /dev/null
+++ b/libcxx/test/libcxx/diagnostics/detail.headers/algorithm/ranges_min.module.verify.cpp
@@ -0,0 +1,15 @@
+//===----------------------------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+// REQUIRES: modules-build
+
+// WARNING: This test was generated by 'generate_private_header_tests.py'
+// and should not be edited manually.
+
+// expected-error@*:* {{use of private header from outside its module: '__algorithm/ranges_min.h'}}
+#include <__algorithm/ranges_min.h>
diff --git a/libcxx/test/std/algorithms/alg.sorting/alg.min.max/ranges.min.pass.cpp b/libcxx/test/std/algorithms/alg.sorting/alg.min.max/ranges.min.pass.cpp
new file mode 100644
--- /dev/null
+++ b/libcxx/test/std/algorithms/alg.sorting/alg.min.max/ranges.min.pass.cpp
@@ -0,0 +1,182 @@
+//===----------------------------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+// <algorithm>
+
+// UNSUPPORTED: c++03, c++11, c++14, c++17
+// UNSUPPORTED: libcpp-no-concepts
+// UNSUPPORTED: libcpp-has-no-incomplete-ranges
+
+//  template<forward_iterator I, sentinel_for<I> S, class Proj = identity,
+//    indirect_strict_weak_order<projected<I, Proj>> Comp = ranges::less>
+//  constexpr I ranges::min(I first, S last, Comp comp = {}, Proj proj = {});
+//
+// template<copyable T, class Proj = identity,
+//          indirect_strict_weak_order<projected<const T*, Proj>> Comp = ranges::less>
+//   constexpr T ranges::min(initializer_list<T> r, Comp comp = {}, Proj proj = {});
+//  template<forward_range R, class Proj = identity,
+//    indirect_strict_weak_order<projected<iterator_t<R>, Proj>> Comp = ranges::less>
+//  constexpr borrowed_iterator_t<R> ranges::min(R&& r, Comp comp = {}, Proj proj = {});
+
+#include <algorithm>
+#include <array>
+#include <cassert>
+#include <ranges>
+
+#include "test_macros.h"
+#include "test_iterators.h"
+
+template <class T>
+concept HasMin = requires { std::ranges::min(std::declval<T>()); };
+
+struct NoLessThanOp {};
+struct NotTotallyOrdered {
+  int i;
+  bool operator<(const NotTotallyOrdered& o) const { return i < o.i; }
+};
+
+struct Movable {
+  Movable& operator=(Movable&&) = default;
+  Movable(Movable&&) = default;
+  Movable(const Movable&) = delete;
+};
+
+static_assert(!HasMin<int>);
+
+static_assert(HasMin<int(&)[10]>);
+static_assert(HasMin<int(&&)[10]>);
+static_assert(!HasMin<NoLessThanOp(&)[10]>);
+static_assert(!HasMin<NotTotallyOrdered(&)[10]>);
+static_assert(!HasMin<Movable(&)[10]>);
+
+static_assert(HasMin<std::initializer_list<int>>);
+static_assert(!HasMin<std::initializer_list<NoLessThanOp>>);
+static_assert(!HasMin<std::initializer_list<NotTotallyOrdered>>);
+static_assert(!HasMin<std::initializer_list<Movable>>);
+
+static_assert(std::is_same_v<decltype(std::ranges::min(1, 2)), const int&>);
+
+constexpr void test_2_arguments() {
+  assert(std::ranges::min(1, 2) == 1);
+  assert(std::ranges::min(2, 1) == 1);
+  // test comparator
+  assert(std::ranges::min(1, 2, std::ranges::greater{}) == 2);
+  // test projection
+  assert(std::ranges::min(1, 2, std::ranges::less{}, [](int i){ return i == 1 ? 10 : i; }) == 2);
+
+  // test if std::invoke is used
+  struct S { int i; };
+  S a[3] = { S{2}, S{1}, S{3} };
+  decltype(auto) ret = std::ranges::min(a[0], a[1], {}, &S::i);
+  ASSERT_SAME_TYPE(decltype(ret), const S&);
+  assert(&ret == &a[1]);
+  assert(ret.i == 1);
+}
+
+constexpr void test_initializer_list() {
+  {
+    // test projection
+    auto proj = [](int i) { return i == 5 ? -100 : i; };
+    int ret = std::ranges::min({7, 6, 9, 3, 5, 1, 2, 4}, std::ranges::less{}, proj);
+    assert(ret == 5);
+  }
+
+  {
+    // test comparator
+    int ret = std::ranges::min({7, 6, 9, 3, 5, 1, 2, 4}, std::ranges::greater{});
+    assert(ret == 9);
+  }
+
+  {
+    int compares = 0;
+    int projections = 0;
+    auto comparator = [&](int a, int b) {
+      ++compares;
+      return a < b;
+    };
+    auto projection = [&](int a) {
+      ++projections;
+      return a;
+    };
+    std::same_as<int> decltype(auto) ret = std::ranges::min({1, 2, 3}, comparator, projection);
+    assert(ret == 1);
+    assert(compares == 2);
+    assert(projections == 4);
+  }
+
+  {
+    struct S { int i; };
+    decltype(auto) ret = std::ranges::min({ S{2}, S{1}, S{3} }, {}, &S::i);
+    ASSERT_SAME_TYPE(decltype(ret), S);
+    assert(ret.i == 1);
+  }
+
+  {
+    int a[] = {7, 6, 9, 3, 5, 1, 2, 4};
+    using It = cpp20_input_iterator<int*>;
+    using Sent = sentinel_wrapper<It>;
+    auto range = std::ranges::subrange(It(a), Sent(It(a + 8)));
+    auto ret = std::ranges::min(range);
+    assert(ret == 1);
+  }
+}
+
+constexpr void test_range() {
+  int a[] = {7, 6, 9, 3, 5, 1, 2, 4};
+  {
+    // test projection
+    auto proj = [](int& i) { return i == 5 ? -100 : i; };
+    int ret = std::ranges::min(a, std::ranges::less{}, proj);
+    assert(ret == 5);
+  }
+
+  {
+    // test comparator
+    int ret = std::ranges::min(a, std::ranges::greater{});
+    assert(ret == 9);
+  }
+
+  {
+    int compares = 0;
+    int projections = 0;
+    auto comparator = [&](int x, int y) {
+      ++compares;
+      return x < y;
+    };
+    auto projection = [&](int x) {
+      ++projections;
+      return x;
+    };
+    std::same_as<int> decltype(auto) ret = std::ranges::min(std::array{1, 2, 3}, comparator, projection);
+    assert(ret == 1);
+    assert(compares == 2);
+    assert(projections == 4);
+  }
+
+  {
+    struct S { int i; };
+    S b[3] = { S{2}, S{1}, S{3} };
+    std::same_as<S> decltype(auto) ret = std::ranges::min(b, {}, &S::i);
+    assert(ret.i == 1);
+  }
+}
+
+constexpr bool test() {
+  test_2_arguments();
+  test_initializer_list();
+  test_range();
+
+  return true;
+}
+
+int main(int, char**) {
+  test();
+  static_assert(test());
+
+  return 0;
+}
diff --git a/libcxx/test/std/library/description/conventions/customization.point.object/niebloid.compile.pass.cpp b/libcxx/test/std/library/description/conventions/customization.point.object/niebloid.compile.pass.cpp
--- a/libcxx/test/std/library/description/conventions/customization.point.object/niebloid.compile.pass.cpp
+++ b/libcxx/test/std/library/description/conventions/customization.point.object/niebloid.compile.pass.cpp
@@ -100,7 +100,7 @@
 //static_assert(test(std::ranges::max, a));
 static_assert(test(std::ranges::max_element, a));
 //static_assert(test(std::ranges::merge, a, a, a));
-//static_assert(test(std::ranges::min, a));
+static_assert(test(std::ranges::min, a));
 static_assert(test(std::ranges::min_element, a));
 //static_assert(test(std::ranges::minmax, a));
 //static_assert(test(std::ranges::minmax_element, a));