diff --git a/src/parse.c b/src/parse.c
index 1622d919f4d3..fd7a2f62be57 100644
--- a/src/parse.c
+++ b/src/parse.c
@@ -2475,7 +2475,7 @@ Type *Parser::parseBasicType2(Type *t)
     return NULL;
 }
 
-Type *Parser::parseDeclarator(Type *t, Identifier **pident, TemplateParameters **tpl)
+Type *Parser::parseDeclarator(Type *t, Identifier **pident, TemplateParameters **tpl, StorageClass storage_class)
 {   Type *ts;
 
     //printf("parseDeclarator(tpl = %p)\n", tpl);
@@ -2604,6 +2604,7 @@ Type *Parser::parseDeclarator(Type *t, Identifier **pident, TemplateParameters *
                 /* Parse const/immutable/shared/inout/nothrow/pure postfix
                  */
                 StorageClass stc = parsePostfix();
+                stc |= storage_class;   // merge prefix storage classes
                 Type *tf = new TypeFunction(arguments, t, varargs, linkage, stc);
 
                 if (stc & STCconst)
@@ -2818,7 +2819,7 @@ Dsymbols *Parser::parseDeclarations(StorageClass storage_class, unsigned char *c
         TemplateParameters *tpl = NULL;
 
         ident = NULL;
-        t = parseDeclarator(ts, &ident, &tpl);
+        t = parseDeclarator(ts, &ident, &tpl, storage_class);
         assert(t);
         if (!tfirst)
             tfirst = t;
@@ -2881,6 +2882,9 @@ Dsymbols *Parser::parseDeclarations(StorageClass storage_class, unsigned char *c
                     tpl = new TemplateParameters();
             }
 #endif
+
+            //printf("%s funcdecl t = %s, storage_class = x%lx\n", loc.toChars(), t->toChars(), storage_class);
+
             FuncDeclaration *f =
                 new FuncDeclaration(loc, 0, ident, storage_class, t);
             addComment(f, comment);
diff --git a/src/parse.h b/src/parse.h
index 855e3c01b90b..9319503a3e86 100644
--- a/src/parse.h
+++ b/src/parse.h
@@ -107,7 +107,7 @@ struct Parser : Lexer
     Type *parseType(Identifier **pident = NULL, TemplateParameters **tpl = NULL);
     Type *parseBasicType();
     Type *parseBasicType2(Type *t);
-    Type *parseDeclarator(Type *t, Identifier **pident, TemplateParameters **tpl = NULL);
+    Type *parseDeclarator(Type *t, Identifier **pident, TemplateParameters **tpl = NULL, StorageClass storage_class = 0);
     Dsymbols *parseDeclarations(StorageClass storage_class, unsigned char *comment);
     void parseContracts(FuncDeclaration *f);
     Statement *parseStatement(int flags);
diff --git a/test/runnable/bug5962.d b/test/runnable/bug5962.d
new file mode 100644
index 000000000000..205cc5ae117f
--- /dev/null
+++ b/test/runnable/bug5962.d
@@ -0,0 +1,14 @@
+// 5962
+
+struct S
+{
+          auto g()(){ return 1; }
+    const auto g()(){ return 2; }
+}
+void main()
+{
+    auto ms = S();
+    assert(ms.g() == 1);
+    auto cs = const(S)();
+    assert(cs.g() == 2);
+}