diff --git a/pkg/ddl/constraint.go b/pkg/ddl/constraint.go
index f8b28efb1ab6d..85a9dd83ea87b 100644
--- a/pkg/ddl/constraint.go
+++ b/pkg/ddl/constraint.go
@@ -314,7 +314,7 @@ func buildConstraintInfo(tblInfo *model.TableInfo, dependedCols []model.CIStr, c
 	// Restore check constraint expression to string.
 	var sb strings.Builder
 	restoreFlags := format.RestoreStringSingleQuotes | format.RestoreKeyWordLowercase | format.RestoreNameBackQuotes |
-		format.RestoreSpacesAroundBinaryOperation
+		format.RestoreSpacesAroundBinaryOperation | format.RestoreWithoutSchemaName | format.RestoreWithoutTableName
 	restoreCtx := format.NewRestoreCtx(restoreFlags, &sb)
 
 	sb.Reset()
diff --git a/pkg/ddl/ddl_api.go b/pkg/ddl/ddl_api.go
index 31c4c8f5d1bfb..8cc286a874730 100644
--- a/pkg/ddl/ddl_api.go
+++ b/pkg/ddl/ddl_api.go
@@ -2304,7 +2304,7 @@ func checkTableInfoValidWithStmt(ctx sessionctx.Context, tbInfo *model.TableInfo
 			return errors.Trace(err)
 		}
 		if s.Partition != nil {
-			if err := checkPartitionFuncType(ctx, s.Partition.Expr, tbInfo); err != nil {
+			if err := checkPartitionFuncType(ctx, s.Partition.Expr, s.Table.Schema, tbInfo); err != nil {
 				return errors.Trace(err)
 			}
 			if err := checkPartitioningKeysConstraints(ctx, s, tbInfo); err != nil {
diff --git a/pkg/ddl/partition.go b/pkg/ddl/partition.go
index f2446dd713ef5..7c8dbc82e5c7c 100644
--- a/pkg/ddl/partition.go
+++ b/pkg/ddl/partition.go
@@ -560,7 +560,9 @@ func buildTablePartitionInfo(ctx sessionctx.Context, s *ast.PartitionOptions, tb
 			return errors.Trace(err)
 		}
 		buf := new(bytes.Buffer)
-		restoreCtx := format.NewRestoreCtx(format.DefaultRestoreFlags|format.RestoreBracketAroundBinaryOperation, buf)
+		restoreFlags := format.DefaultRestoreFlags | format.RestoreBracketAroundBinaryOperation |
+			format.RestoreWithoutSchemaName | format.RestoreWithoutTableName
+		restoreCtx := format.NewRestoreCtx(restoreFlags, buf)
 		if err := s.Expr.Restore(restoreCtx); err != nil {
 			return err
 		}
@@ -1578,12 +1580,21 @@ func checkResultOK(ok bool) error {
 }
 
 // checkPartitionFuncType checks partition function return type.
-func checkPartitionFuncType(ctx sessionctx.Context, expr ast.ExprNode, tblInfo *model.TableInfo) error {
+func checkPartitionFuncType(ctx sessionctx.Context, expr ast.ExprNode, dbName model.CIStr, tblInfo *model.TableInfo) error {
 	if expr == nil {
 		return nil
 	}
 
-	e, err := expression.RewriteSimpleExprWithTableInfo(ctx, tblInfo, expr, false)
+	if dbName.L == "" {
+		dbName = model.NewCIStr(ctx.GetSessionVars().CurrentDB)
+	}
+
+	columns, names, err := expression.ColumnInfos2ColumnsAndNames(ctx, dbName, tblInfo.Name, tblInfo.Cols(), tblInfo)
+	if err != nil {
+		return err
+	}
+
+	e, err := expression.RewriteAstExpr(ctx, expr, expression.NewSchema(columns...), names, false)
 	if err != nil {
 		return errors.Trace(err)
 	}
diff --git a/tests/integrationtest/r/ddl/constraint.result b/tests/integrationtest/r/ddl/constraint.result
index 54840371c81a9..1f676c2dc1f16 100644
--- a/tests/integrationtest/r/ddl/constraint.result
+++ b/tests/integrationtest/r/ddl/constraint.result
@@ -821,4 +821,22 @@ Table	Create Table
 t	CREATE TABLE `t` (
   `a` int(11) DEFAULT NULL
 ) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+set @@global.tidb_enable_check_constraint = 1;
+drop table if exists t;
+create table t(a int, check((test.t.a > 1)));
+show create table t;
+Table	Create Table
+t	CREATE TABLE `t` (
+  `a` int(11) DEFAULT NULL,
+CONSTRAINT `t_chk_1` CHECK (((`a` > 1)))
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+alter table t add constraint chk check((test.t.a < 100));
+show create table t;
+Table	Create Table
+t	CREATE TABLE `t` (
+  `a` int(11) DEFAULT NULL,
+CONSTRAINT `t_chk_1` CHECK (((`a` > 1))),
+CONSTRAINT `chk` CHECK (((`a` < 100)))
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+drop table if exists t;
 set @@global.tidb_enable_check_constraint = 0;
diff --git a/tests/integrationtest/r/ddl/partition.result b/tests/integrationtest/r/ddl/partition.result
index d037541f96ba1..7a9f98a95db62 100644
--- a/tests/integrationtest/r/ddl/partition.result
+++ b/tests/integrationtest/r/ddl/partition.result
@@ -177,3 +177,55 @@ t	CREATE TABLE `t` (
   KEY `b` (`b`)
 ) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
 PARTITION BY KEY (`a`) PARTITIONS 5
+drop table if exists test.issue50972_1, test.issue50972_2, test.issue50972_3;
+CREATE TABLE test.issue50972_1 (id1 int) PARTITION BY HASH( test.issue50972_1.id1 ) PARTITIONS 4;
+CREATE TABLE test.issue50972_2 (id2 int) PARTITION BY RANGE (test.issue50972_2.id2) ( PARTITION p0 VALUES LESS THAN (6));
+CREATE TABLE test.issue50972_3 (id3 int) PARTITION BY LIST (test.issue50972_3.id3) ( PARTITION p0 VALUES IN (1, 2) );
+show create table test.issue50972_1;
+Table	Create Table
+issue50972_1	CREATE TABLE `issue50972_1` (
+  `id1` int(11) DEFAULT NULL
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+PARTITION BY HASH (`id1`) PARTITIONS 4
+show create table test.issue50972_2;
+Table	Create Table
+issue50972_2	CREATE TABLE `issue50972_2` (
+  `id2` int(11) DEFAULT NULL
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+PARTITION BY RANGE (`id2`)
+(PARTITION `p0` VALUES LESS THAN (6))
+show create table test.issue50972_3;
+Table	Create Table
+issue50972_3	CREATE TABLE `issue50972_3` (
+  `id3` int(11) DEFAULT NULL
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+PARTITION BY LIST (`id3`)
+(PARTITION `p0` VALUES IN (1,2))
+drop table if exists test.issue50972_1, test.issue50972_2, test.issue50972_3;
+CREATE TABLE test.issue50972_1 (id1 int);
+CREATE TABLE test.issue50972_2 (id2 int);
+CREATE TABLE test.issue50972_3 (id3 int);
+ALTER TABLE test.issue50972_1 PARTITION BY HASH( test.issue50972_1.id1 ) PARTITIONS 4;
+ALTER TABLE test.issue50972_2 PARTITION BY RANGE (test.issue50972_2.id2) ( PARTITION p0 VALUES LESS THAN (6));
+ALTER TABLE test.issue50972_3 PARTITION BY LIST (test.issue50972_3.id3) ( PARTITION p0 VALUES IN (1, 2) );
+show create table test.issue50972_1;
+Table	Create Table
+issue50972_1	CREATE TABLE `issue50972_1` (
+  `id1` int(11) DEFAULT NULL
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+PARTITION BY HASH (`id1`) PARTITIONS 4
+show create table test.issue50972_2;
+Table	Create Table
+issue50972_2	CREATE TABLE `issue50972_2` (
+  `id2` int(11) DEFAULT NULL
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+PARTITION BY RANGE (`id2`)
+(PARTITION `p0` VALUES LESS THAN (6))
+show create table test.issue50972_3;
+Table	Create Table
+issue50972_3	CREATE TABLE `issue50972_3` (
+  `id3` int(11) DEFAULT NULL
+) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_bin
+PARTITION BY LIST (`id3`)
+(PARTITION `p0` VALUES IN (1,2))
+drop table if exists test.issue50972_1, test.issue50972_2, test.issue50972_3;
diff --git a/tests/integrationtest/t/ddl/constraint.test b/tests/integrationtest/t/ddl/constraint.test
index 4becc4152e911..6b9c60f0d7996 100644
--- a/tests/integrationtest/t/ddl/constraint.test
+++ b/tests/integrationtest/t/ddl/constraint.test
@@ -676,4 +676,13 @@ show create table t;
 alter table t drop CONSTRAINT chk;
 show create table t;
 
+# Related issue TiDB#50972, constraint expression should ignore schema and table name when restore
+set @@global.tidb_enable_check_constraint = 1;
+drop table if exists t;
+create table t(a int, check((test.t.a > 1)));
+show create table t;
+alter table t add constraint chk check((test.t.a < 100));
+show create table t;
+drop table if exists t;
+
 set @@global.tidb_enable_check_constraint = 0;
diff --git a/tests/integrationtest/t/ddl/partition.test b/tests/integrationtest/t/ddl/partition.test
index 4622da78575ad..7e1185635c1e7 100644
--- a/tests/integrationtest/t/ddl/partition.test
+++ b/tests/integrationtest/t/ddl/partition.test
@@ -135,3 +135,23 @@ show create table t;
 alter table t partition by key(a) partitions 5;
 show create table t;
 
+# Related issue TiDB#50972, partition expression should ignore schema and table name when restore
+drop table if exists test.issue50972_1, test.issue50972_2, test.issue50972_3;
+CREATE TABLE test.issue50972_1 (id1 int) PARTITION BY HASH( test.issue50972_1.id1 ) PARTITIONS 4;
+CREATE TABLE test.issue50972_2 (id2 int) PARTITION BY RANGE (test.issue50972_2.id2) ( PARTITION p0 VALUES LESS THAN (6));
+CREATE TABLE test.issue50972_3 (id3 int) PARTITION BY LIST (test.issue50972_3.id3) ( PARTITION p0 VALUES IN (1, 2) );
+show create table test.issue50972_1;
+show create table test.issue50972_2;
+show create table test.issue50972_3;
+drop table if exists test.issue50972_1, test.issue50972_2, test.issue50972_3;
+CREATE TABLE test.issue50972_1 (id1 int);
+CREATE TABLE test.issue50972_2 (id2 int);
+CREATE TABLE test.issue50972_3 (id3 int);
+ALTER TABLE test.issue50972_1 PARTITION BY HASH( test.issue50972_1.id1 ) PARTITIONS 4;
+ALTER TABLE test.issue50972_2 PARTITION BY RANGE (test.issue50972_2.id2) ( PARTITION p0 VALUES LESS THAN (6));
+ALTER TABLE test.issue50972_3 PARTITION BY LIST (test.issue50972_3.id3) ( PARTITION p0 VALUES IN (1, 2) );
+show create table test.issue50972_1;
+show create table test.issue50972_2;
+show create table test.issue50972_3;
+drop table if exists test.issue50972_1, test.issue50972_2, test.issue50972_3;
+