diff --git a/absl/functional/function_ref.h b/absl/functional/function_ref.h
index 2b9139d3741..96cece551b5 100644
--- a/absl/functional/function_ref.h
+++ b/absl/functional/function_ref.h
@@ -137,6 +137,14 @@ class FunctionRef<R(Args...)> {
   absl::functional_internal::Invoker<R, Args...> invoker_;
 };
 
+// Allow const qualified function signatures. Since FunctionRef requires
+// constness anyway we can just make this a no-op.
+template <typename R, typename... Args>
+class FunctionRef<R(Args...) const> : public FunctionRef<R(Args...)> {
+ public:
+  using FunctionRef<R(Args...)>::FunctionRef;
+};
+
 ABSL_NAMESPACE_END
 }  // namespace absl
 
diff --git a/absl/functional/function_ref_test.cc b/absl/functional/function_ref_test.cc
index c61117eb8bd..c0211135a2b 100644
--- a/absl/functional/function_ref_test.cc
+++ b/absl/functional/function_ref_test.cc
@@ -47,6 +47,11 @@ TEST(FunctionRefTest, Function2) {
   EXPECT_EQ(1337, ref());
 }
 
+TEST(FunctionRefTest, ConstFunction) {
+  FunctionRef<int() const> ref(Function);
+  EXPECT_EQ(1337, ref());
+}
+
 int NoExceptFunction() noexcept { return 1337; }
 
 // TODO(jdennett): Add a test for noexcept member functions.