diff --git a/gcc/cp/pt.cc b/gcc/cp/pt.cc
index 3df509bbed01fba942f8aebd05fde6fad052eefc..cd07e48cb5a05bcc9480a272270266f0edb3909f 100644
--- a/gcc/cp/pt.cc
+++ b/gcc/cp/pt.cc
@@ -28815,6 +28815,12 @@ finish_concept_definition (cp_expr id, tree init)
       return error_mark_node;
     }
 
+  if (current_template_depth > 1)
+    {
+      error_at (loc, "concept %qE has multiple template parameter lists", *id);
+      return error_mark_node;
+    }
+
   /* Initially build the concept declaration; its type is bool.  */
   tree decl = build_lang_decl_loc (loc, CONCEPT_DECL, *id, boolean_type_node);
   DECL_CONTEXT (decl) = current_scope ();
diff --git a/gcc/testsuite/g++.dg/cpp2a/concepts-err4.C b/gcc/testsuite/g++.dg/cpp2a/concepts-err4.C
new file mode 100644
index 0000000000000000000000000000000000000000..57a96a095c78a9cebdd139581269c1ba5a1ace10
--- /dev/null
+++ b/gcc/testsuite/g++.dg/cpp2a/concepts-err4.C
@@ -0,0 +1,6 @@
+// PR c++/105067
+// { dg-do compile { target c++20 } }
+
+template<class>
+template<class>
+concept C = true; // { dg-error "parameter list" }