diff --git a/lib/tokenize.cpp b/lib/tokenize.cpp
index adcbf4efb..a9937924a 100644
--- a/lib/tokenize.cpp
+++ b/lib/tokenize.cpp
@@ -3802,7 +3802,6 @@ bool Tokenizer::simplifyTokenList2()
     // Create symbol database and then remove const keywords
     createSymbolDatabase();
     SymbolDatabase::setValueTypeInTokenList(list.front(), isCPP(), _settings->defaultSign, &_settings->library);
-    simplifyPointerConst();
 
     ValueFlow::setValues(&list, _symbolDatabase, _errorLogger, _settings);
 
@@ -3814,14 +3813,6 @@ bool Tokenizer::simplifyTokenList2()
     return true;
 }
 //---------------------------------------------------------------------------
-void Tokenizer::simplifyPointerConst()
-{
-    for (Token *tok = list.front(); tok; tok = tok->next()) {
-        if (Token::Match(tok, "* const %name%|*"))
-            tok->deleteNext();
-    }
-}
-//---------------------------------------------------------------------------
 
 void Tokenizer::printDebugOutput(unsigned int simplification) const
 {
diff --git a/lib/tokenize.h b/lib/tokenize.h
index 2f47f3b77..0ed769ab8 100644
--- a/lib/tokenize.h
+++ b/lib/tokenize.h
@@ -281,12 +281,6 @@ public:
      */
     void simplifyCompoundAssignment();
 
-
-    /**
-     * Simplify "* const" to "*"
-     */
-    void simplifyPointerConst();
-
     /**
      * Simplify the location of "static" and "const" qualifiers in
      * a variable declaration or definition.
diff --git a/test/testsimplifytokens.cpp b/test/testsimplifytokens.cpp
index c3d2edeca..1c005f79e 100644
--- a/test/testsimplifytokens.cpp
+++ b/test/testsimplifytokens.cpp
@@ -153,8 +153,6 @@ private:
         TEST_CASE(pointeralias3);
         TEST_CASE(pointeralias4);
 
-        TEST_CASE(reduceConstness);
-
         // simplify "while (0)"
         TEST_CASE(while0);
         // ticket #3140
@@ -2780,10 +2778,6 @@ private:
         ASSERT_EQUALS(expected, tok(code));
     }
 
-    void reduceConstness() {
-        ASSERT_EQUALS("char * p ;", tok("char * const p;"));
-    }
-
     void while0() {
         ASSERT_EQUALS("; x = 1 ;", tok("; do { x = 1 ; } while (0);"));
         ASSERT_EQUALS("; return 0 ;", tok("; do { return 0; } while (0);"));
diff --git a/test/testsimplifytypedef.cpp b/test/testsimplifytypedef.cpp
index e4524e542..c71543646 100644
--- a/test/testsimplifytypedef.cpp
+++ b/test/testsimplifytypedef.cpp
@@ -1412,9 +1412,9 @@ private:
                             "_Iterator v3;";
 
         // The expected result..
-        const char expected[] = "long * v1 ; "
-                                "void * v2 [ 2 ] ; "
-                                "int * * v3 ;";
+        const char expected[] = "long * const v1 ; "
+                                "void * const v2 [ 2 ] ; "
+                                "int * const * v3 ;";
         ASSERT_EQUALS(expected, tok(code));
 
         // Check for output..
diff --git a/test/testtokenize.cpp b/test/testtokenize.cpp
index dc9c50ac0..0f70f0730 100644
--- a/test/testtokenize.cpp
+++ b/test/testtokenize.cpp
@@ -2698,7 +2698,7 @@ private:
                             "}";
         ASSERT_EQUALS("void f ( ) {\n"
                       "int i ; i = 1 ;\n"
-                      "const int * constPtrToConst ; constPtrToConst = & i ;\n"
+                      "const int * const constPtrToConst ; constPtrToConst = & i ;\n"
                       "std :: cout << i << std :: endl ;\n"
                       "std :: cout << & i << std :: endl ;\n"
                       "}", tokenizeAndStringify(code, true));