diff --git a/test/Jamfile b/test/Jamfile
index 39c9aaf..a451e8a 100644
--- a/test/Jamfile
+++ b/test/Jamfile
@@ -36,3 +36,8 @@ run invoke_md_test.cpp ;
 
 run mem_fn_mfn_test.cpp ;
 run mem_fn_md_test.cpp ;
+
+run invoke_fn_noexcept_test.cpp ;
+run invoke_obj_noexcept_test.cpp ;
+run invoke_mfn_noexcept_test.cpp ;
+run invoke_md_noexcept_test.cpp ;
diff --git a/test/invoke_fn_noexcept_test.cpp b/test/invoke_fn_noexcept_test.cpp
new file mode 100644
index 0000000..7b5efa4
--- /dev/null
+++ b/test/invoke_fn_noexcept_test.cpp
@@ -0,0 +1,47 @@
+// Copyright 2024 Peter Dimov
+// Distributed under the Boost Software License, Version 1.0.
+// https://www.boost.org/LICENSE_1_0.txt
+
+#include <boost/config/pragma_message.hpp>
+
+#if !defined(__cpp_noexcept_function_type)
+
+BOOST_PRAGMA_MESSAGE( "Test skipped, __cpp_noexcept_function_type is not defined" )
+int main() {}
+
+#else
+
+#include <boost/compat/invoke.hpp>
+#include <boost/core/lightweight_test.hpp>
+
+int f0()
+{
+    return -1;
+}
+
+int f1( int x1 ) noexcept
+{
+    return x1;
+}
+
+int f2( int x1, int x2 )
+{
+    return 10*x1+x2;
+}
+
+int f3( int x1, int x2, int x3 ) noexcept
+{
+    return 100*x1 + 10*x2 + x3;
+}
+
+int main()
+{
+    BOOST_TEST_EQ( noexcept( boost::compat::invoke( f0 ) ), false );
+    BOOST_TEST_EQ( noexcept( boost::compat::invoke( f1, 1 ) ), true );
+    BOOST_TEST_EQ( noexcept( boost::compat::invoke( f2, 1, 2 ) ), false );
+    BOOST_TEST_EQ( noexcept( boost::compat::invoke( f3, 1, 2, 3 ) ), true );
+
+    return boost::report_errors();
+}
+
+#endif
diff --git a/test/invoke_md_noexcept_test.cpp b/test/invoke_md_noexcept_test.cpp
new file mode 100644
index 0000000..841317b
--- /dev/null
+++ b/test/invoke_md_noexcept_test.cpp
@@ -0,0 +1,60 @@
+// Copyright 2024 Peter Dimov
+// Distributed under the Boost Software License, Version 1.0.
+// https://www.boost.org/LICENSE_1_0.txt
+
+#include <boost/compat/invoke.hpp>
+#include <boost/core/lightweight_test.hpp>
+#include <functional>
+
+struct X
+{
+    int m = -1;
+};
+
+struct Y: public virtual X
+{
+};
+
+int main()
+{
+    {
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, X() ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, Y() ) ), true );
+    }
+
+    {
+        X x;
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, x ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, &x ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, std::ref(x) ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, std::cref(x) ) ), true );
+    }
+
+    {
+        Y y;
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, y ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, &y ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, std::ref(y) ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, std::cref(y) ) ), true );
+    }
+
+    {
+        X const x = {};
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, x ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, &x ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, std::ref(x) ) ), true );
+    }
+
+    {
+        Y const y = {};
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, y ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, &y ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::m, std::ref(y) ) ), true );
+    }
+
+    return boost::report_errors();
+}
diff --git a/test/invoke_mfn_noexcept_test.cpp b/test/invoke_mfn_noexcept_test.cpp
new file mode 100644
index 0000000..c1241be
--- /dev/null
+++ b/test/invoke_mfn_noexcept_test.cpp
@@ -0,0 +1,134 @@
+// Copyright 2024 Peter Dimov
+// Distributed under the Boost Software License, Version 1.0.
+// https://www.boost.org/LICENSE_1_0.txt
+
+#include <boost/config/pragma_message.hpp>
+
+#if !defined(__cpp_noexcept_function_type)
+
+BOOST_PRAGMA_MESSAGE( "Test skipped, __cpp_noexcept_function_type is not defined" )
+int main() {}
+
+#else
+
+#include <boost/compat/invoke.hpp>
+#include <boost/core/lightweight_test.hpp>
+#include <functional>
+
+struct X
+{
+    int f0()
+    {
+        return -1;
+    }
+
+    int f1( int x1 ) noexcept
+    {
+        return x1;
+    }
+
+    int f2( int x1, int x2 ) const
+    {
+        return 10*x1+x2;
+    }
+
+    int f3( int x1, int x2, int x3 ) const noexcept
+    {
+        return 100*x1 + 10*x2 + x3;
+    }
+};
+
+struct Y: public virtual X
+{
+};
+
+int main()
+{
+    {
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, X() ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, X(), 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, X(), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, X(), 1, 2, 3 ) ), true );
+    }
+
+    {
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, Y() ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, Y(), 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, Y(), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, Y(), 1, 2, 3 ) ), true );
+    }
+
+    {
+        X x;
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, x ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, x, 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, x, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, x, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, &x ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, &x, 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, &x, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, &x, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, std::ref(x) ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, std::ref(x), 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, std::ref(x), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, std::ref(x), 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, std::cref(x), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, std::cref(x), 1, 2, 3 ) ), true );
+    }
+
+    {
+        Y y;
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, y ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, y, 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, y, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, y, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, &y ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, &y, 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, &y, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, &y, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f0, std::ref(y) ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f1, std::ref(y), 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, std::ref(y), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, std::ref(y), 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, std::cref(y), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, std::cref(y), 1, 2, 3 ) ), true );
+    }
+
+    {
+        X const x = {};
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, x, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, x, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, &x, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, &x, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, std::ref(x), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, std::ref(x), 1, 2, 3 ) ), true );
+    }
+
+    {
+        Y const y = {};
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, y, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, y, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, &y, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, &y, 1, 2, 3 ) ), true );
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f2, std::ref(y), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( &X::f3, std::ref(y), 1, 2, 3 ) ), true );
+    }
+
+    return boost::report_errors();
+}
+
+#endif
diff --git a/test/invoke_obj_noexcept_test.cpp b/test/invoke_obj_noexcept_test.cpp
new file mode 100644
index 0000000..ce8ffbe
--- /dev/null
+++ b/test/invoke_obj_noexcept_test.cpp
@@ -0,0 +1,57 @@
+// Copyright 2024 Peter Dimov
+// Distributed under the Boost Software License, Version 1.0.
+// https://www.boost.org/LICENSE_1_0.txt
+
+#include <boost/compat/invoke.hpp>
+#include <boost/core/lightweight_test.hpp>
+
+struct F
+{
+    int operator()()
+    {
+        return -1;
+    }
+
+    int operator()( int x1 ) noexcept
+    {
+        return x1;
+    }
+
+    int operator()( int x1, int x2 ) const
+    {
+        return 10*x1+x2;
+    }
+
+    int operator()( int x1, int x2, int x3 ) const noexcept
+    {
+        return 100*x1 + 10*x2 + x3;
+    }
+};
+
+int main()
+{
+    {
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( F() ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( F(), 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( F(), 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( F(), 1, 2, 3 ) ), true );
+    }
+
+    {
+        F f = {};
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( f ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( f, 1 ) ), true );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( f, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( f, 1, 2, 3 ) ), true );
+    }
+
+    {
+        F const f = {};
+
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( f, 1, 2 ) ), false );
+        BOOST_TEST_EQ( noexcept( boost::compat::invoke( f, 1, 2, 3 ) ), true );
+    }
+
+    return boost::report_errors();
+}