diff --git a/test/Jamfile.v2 b/test/Jamfile.v2
index 879a1b2..134642d 100644
--- a/test/Jamfile.v2
+++ b/test/Jamfile.v2
@@ -241,5 +241,7 @@ import testing ;
           [ run make_local_shared_esft_test.cpp ]
           [ run allocate_local_shared_test.cpp ]
           [ run allocate_local_shared_esft_test.cpp ]
+
+          [ run local_sp_fn_test.cpp ]
         ;
 }
diff --git a/test/local_sp_fn_test.cpp b/test/local_sp_fn_test.cpp
new file mode 100644
index 0000000..f2a355a
--- /dev/null
+++ b/test/local_sp_fn_test.cpp
@@ -0,0 +1,43 @@
+//
+// local_sp_fn_test.cpp
+//
+// Copyright 2017 Peter Dimov
+//
+// Distributed under the Boost Software License, Version 1.0.
+// See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt
+//
+
+#include <boost/smart_ptr/local_shared_ptr.hpp>
+#include <boost/weak_ptr.hpp>
+#include <boost/core/lightweight_test.hpp>
+
+static void f()
+{
+}
+
+struct null_deleter
+{
+    template<class Y> void operator()( Y* ) {}
+};
+
+int main()
+{
+    boost::local_shared_ptr<void()> pf( f, null_deleter() );
+
+    BOOST_TEST( pf.get() == f );
+    BOOST_TEST_EQ( pf.local_use_count(), 1 );
+    BOOST_TEST( boost::get_deleter<null_deleter>( pf ) != 0 );
+
+    boost::weak_ptr<void()> wp( pf );
+
+    BOOST_TEST( wp.lock().get() == f );
+    BOOST_TEST_EQ( wp.use_count(), 1 );
+
+    pf.reset();
+
+    BOOST_TEST( wp.lock().get() == 0 );
+    BOOST_TEST_EQ( wp.use_count(), 0 );
+
+    return boost::report_errors();
+}