diff --git a/expression/integration_test.go b/expression/integration_test.go
index 89124c14e1343..6c8cafc9d79d4 100644
--- a/expression/integration_test.go
+++ b/expression/integration_test.go
@@ -4077,6 +4077,10 @@ func (s *testIntegrationSuite) TestFuncNameConst(c *C) {
 	r.Check(testkit.Rows("2"))
 	r = tk.MustQuery("SELECT concat('hello', name_const('test_string', 'world')) FROM t;")
 	r.Check(testkit.Rows("helloworld"))
+	r = tk.MustQuery("SELECT NAME_CONST('come', -1);")
+	r.Check(testkit.Rows("-1"))
+	r = tk.MustQuery("SELECT NAME_CONST('come', -1.0);")
+	r.Check(testkit.Rows("-1.0"))
 	err := tk.ExecToErr(`select name_const(a,b) from t;`)
 	c.Assert(err.Error(), Equals, "[planner:1210]Incorrect arguments to NAME_CONST")
 	err = tk.ExecToErr(`select name_const(a,"hello") from t;`)
diff --git a/planner/core/preprocess.go b/planner/core/preprocess.go
index 26d93eabaf9ab..770ba6f683e5a 100644
--- a/planner/core/preprocess.go
+++ b/planner/core/preprocess.go
@@ -178,7 +178,12 @@ func (p *preprocessor) Leave(in ast.Node) (out ast.Node, ok bool) {
 				p.err = expression.ErrIncorrectParameterCount.GenWithStackByArgs(x.FnName.L)
 			} else {
 				_, isValueExpr1 := x.Args[0].(*driver.ValueExpr)
-				_, isValueExpr2 := x.Args[1].(*driver.ValueExpr)
+				isValueExpr2 := false
+				switch x.Args[1].(type) {
+				case *driver.ValueExpr, *ast.UnaryOperationExpr:
+					isValueExpr2 = true
+				}
+
 				if !isValueExpr1 || !isValueExpr2 {
 					p.err = ErrWrongArguments.GenWithStackByArgs("NAME_CONST")
 				}