diff --git a/lib/tokenize.cpp b/lib/tokenize.cpp
index 7cb080e071f..b05a0d2e469 100644
--- a/lib/tokenize.cpp
+++ b/lib/tokenize.cpp
@@ -798,7 +798,7 @@ namespace {
             Token *after = tok3;
             while (Token::Match(after, "%name%|*|&|&&|::"))
                 after = after->next();
-            if (Token::Match(mNameToken, "%name% (") && Token::simpleMatch(tok3->next(), "*")) {
+            if (Token::Match(mNameToken, "%name% (") && Token::Match(tok3->next(), "*|const")) {
                 while (Token::Match(after, "(|["))
                     after = after->link()->next();
                 if (after) {
@@ -841,6 +841,8 @@ namespace {
                     useAfterVarRange = false;
                     if (Token::simpleMatch(tok3->previous(), "( *"))
                         tok3->deletePrevious();
+                    else if (Token::simpleMatch(tok3->tokAt(-2), "( * const"))
+                        tok3->tokAt(-1)->deletePrevious();
                 }
                 else if (after->str() == "[") {
                     while (after && after->str() == "[")
diff --git a/test/testsimplifytypedef.cpp b/test/testsimplifytypedef.cpp
index a24131dd667..087e3759901 100644
--- a/test/testsimplifytypedef.cpp
+++ b/test/testsimplifytypedef.cpp
@@ -229,6 +229,7 @@ class TestSimplifyTypedef : public TestFixture {
         TEST_CASE(simplifyTypedef156);
         TEST_CASE(simplifyTypedef157);
         TEST_CASE(simplifyTypedef158);
+        TEST_CASE(simplifyTypedef159);
 
         TEST_CASE(simplifyTypedefFunction1);
         TEST_CASE(simplifyTypedefFunction2); // ticket #1685
@@ -3803,6 +3804,13 @@ class TestSimplifyTypedef : public TestFixture {
         TODO_ASSERT_EQUALS(exp, cur, tok(code));
     }
 
+    void simplifyTypedef159() {
+        const char code[] = "typedef void (*const func_t)();\n" // #14387
+                            "func_t g() { return nullptr; }\n";
+        const char exp[] = "void * const g ( ) { return nullptr ; }";
+        ASSERT_EQUALS(exp, tok(code));
+    }
+
     void simplifyTypedefFunction1() {
         {
             const char code[] = "typedef void (*my_func)();\n"