diff --git a/lib/tokenize.cpp b/lib/tokenize.cpp
index df176c3a0..6b7937b86 100644
--- a/lib/tokenize.cpp
+++ b/lib/tokenize.cpp
@@ -1202,16 +1202,23 @@ void Tokenizer::simplifyTypedef()
                     tok = deleteInvalidTypedef(typeDef);
                     continue;
                 }
-                else if (!Token::Match(tok->tokAt(offset)->link(), ") ;|,"))
+                else if (!Token::Match(tok->tokAt(offset)->link(), ") const| ;|,"))
                 {
                     syntaxError(tok);
                     return;
                 }
 
                 function = true;
+                if (tok->tokAt(offset)->link()->next()->str() == "const")
+                {
+                    specStart = tok->tokAt(offset)->link()->next();
+                    specEnd = specStart;
+                }
                 argStart = tok->tokAt(offset);
                 argEnd = tok->tokAt(offset)->link();
                 tok = argEnd->next();
+                if (specStart)
+                    tok = tok->next();
             }
 
             // unhandled typedef, skip it and continue
diff --git a/test/testsimplifytokens.cpp b/test/testsimplifytokens.cpp
index 85dec647f..af291b714 100644
--- a/test/testsimplifytokens.cpp
+++ b/test/testsimplifytokens.cpp
@@ -252,6 +252,7 @@ private:
         TEST_CASE(simplifyTypedef86); // ticket #2581
         TEST_CASE(simplifyTypedef87); // ticket #2651
         TEST_CASE(simplifyTypedef88); // ticket #2675
+        TEST_CASE(simplifyTypedef89); // ticket #2717
 
         TEST_CASE(simplifyTypedefFunction1);
         TEST_CASE(simplifyTypedefFunction2); // ticket #1685
@@ -5087,6 +5088,18 @@ private:
         ASSERT_EQUALS("", errout.str());
     }
 
+    void simplifyTypedef89() // ticket #2717
+    {
+        const char code[] = "class Fred {\n"
+                            "    typedef void f(int) const;\n"
+                            "    f func;\n"
+                            "};\n";
+        const char expected[] = "class Fred { ; void func ( int ) const ; } ;";
+        checkSimplifyTypedef(code);
+        ASSERT_EQUALS(expected, sizeof_(code));
+        ASSERT_EQUALS("", errout.str());
+    }
+
     void simplifyTypedefFunction1()
     {
         {