diff --git a/lib/templatesimplifier.cpp b/lib/templatesimplifier.cpp
index 817f46967..e19f7fe3c 100644
--- a/lib/templatesimplifier.cpp
+++ b/lib/templatesimplifier.cpp
@@ -180,8 +180,12 @@ unsigned int TemplateSimplifier::templateParameters(const Token *tok)
         if (level == 0)
             ++numberOfParameters;
 
+        // skip const
+        if (Token::Match(tok, "const %any%"))
+            tok = tok->next();
+
         // skip struct/union
-        if (Token::Match(tok, "struct|union|const %any%"))
+        if (Token::Match(tok, "struct|union %any%"))
             tok = tok->next();
 
         // skip std::
diff --git a/test/testsimplifytokens.cpp b/test/testsimplifytokens.cpp
index 95081e678..7d3f9e3e6 100644
--- a/test/testsimplifytokens.cpp
+++ b/test/testsimplifytokens.cpp
@@ -2291,6 +2291,7 @@ private:
         ASSERT_EQUALS(1U, templateParameters("<union C> x;"));
         ASSERT_EQUALS(1U, templateParameters("<const int> x;"));
         ASSERT_EQUALS(1U, templateParameters("<int const *> x;"));
+        ASSERT_EQUALS(1U, templateParameters("<const struct C> x;"));
     }