Index: include/type_traits
===================================================================
--- include/type_traits
+++ include/type_traits
@@ -1549,6 +1549,40 @@
     = is_convertible<_From, _To>::value;
 #endif
 
+// is_nothrow_convertible
+
+#if _LIBCPP_STD_VER > 17
+
+template <typename _Fm, typename _To>
+struct __is_nothrow_convertible_helper
+{
+private:
+    template <typename _Tp>
+    static void __test_noexcept(_Tp) noexcept;
+    
+    template<typename __Fm, typename __To>
+    static bool_constant<noexcept(__test_noexcept<__To>(declval<__Fm>()))>
+    __test(int);
+    
+    template<typename, typename>
+    static false_type
+    __test(...);
+    
+public:
+    using type = decltype(__test<_Fm, _To>(0));
+};
+
+template <typename _Fm, typename _To>
+struct is_nothrow_convertible : __or_<
+    __and_<is_void<_To>, is_void<_Fm>>,
+    __and_<is_convertible<_Fm, _To>, __is_nothrow_convertible_helper<_Fm, _To>>
+>::type { };
+
+template <typename _Fm, typename _To>
+inline constexpr bool is_nothrow_convertible_v = is_nothrow_convertible<_Fm, _To>::value;
+
+#endif // _LIBCPP_STD_VER > 17
+
 // is_empty
 
 #if __has_feature(is_empty) || (_GNUC_VER >= 407)
Index: test/std/type_traits/is_nothrow_convertible.pass.cpp
===================================================================
--- /dev/null
+++ test/std/type_traits/is_nothrow_convertible.pass.cpp
@@ -0,0 +1,60 @@
+//===----------------------------------------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+//
+
+// <type_traits>
+// UNSUPPORTED: c++98, c++03, c++11, c++14, c++17
+
+#include <type_traits>
+
+#include "test_macros.h"
+
+struct A {};
+struct B {
+public:
+    operator A() { return a; } A a;
+};
+
+class C { };
+class D {
+public:
+    operator C() noexcept { return c; } C c;
+};
+
+int main(int, char**) {
+    static_assert((std::is_nothrow_convertible<int, double>::value), "");
+    static_assert(!(std::is_nothrow_convertible<int, char*>::value), "");
+    
+    static_assert(!(std::is_nothrow_convertible<A, B>::value), "");
+    static_assert((std::is_nothrow_convertible<D, C>::value), "");
+    
+    static_assert((std::is_nothrow_convertible_v<int, double>), "");
+    static_assert(!(std::is_nothrow_convertible_v<int, char*>), "");
+    
+    static_assert(!(std::is_nothrow_convertible_v<A, B>), "");
+    static_assert((std::is_nothrow_convertible_v<D, C>), "");
+    
+    static_assert((std::is_nothrow_convertible_v<const void, void>), "");
+    static_assert((std::is_nothrow_convertible_v<volatile void, void>), "");
+    static_assert((std::is_nothrow_convertible_v<void, const void>), "");
+    static_assert((std::is_nothrow_convertible_v<void, volatile void>), "");
+    
+    static_assert(!(std::is_nothrow_convertible_v<int[], double[]>), "");
+    static_assert(!(std::is_nothrow_convertible_v<int[], int[]>), "");
+    static_assert(!(std::is_nothrow_convertible_v<int[10], int[10]>), "");
+    static_assert(!(std::is_nothrow_convertible_v<int[10], double[10]>), "");
+    static_assert(!(std::is_nothrow_convertible_v<int[5], double[10]>), "");
+    static_assert(!(std::is_nothrow_convertible_v<int[10], A[10]>), "");
+    
+    typedef void V();
+    typedef int I();
+    static_assert(!(std::is_nothrow_convertible_v<V, V>), "");
+    static_assert(!(std::is_nothrow_convertible_v<V, I>), "");
+    
+    return 0;
+}