diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/CheckAnalysis.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/CheckAnalysis.scala
index 61ac6346ff..64496a9538 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/CheckAnalysis.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/CheckAnalysis.scala
@@ -996,12 +996,12 @@ trait CheckAnalysis extends PredicateHelper {
   private def checkAlterTablePartition(
       table: Table, parts: Seq[PartitionSpec]): Unit = {
     (table, parts) match {
-      case (_, parts) if parts.exists(_.isInstanceOf[UnresolvedPartitionSpec]) =>
-        failAnalysis("PartitionSpecs are not resolved")
-
       case (table, _) if !table.isInstanceOf[SupportsPartitionManagement] =>
         failAnalysis(s"Table ${table.name()} can not alter partitions.")
 
+      case (_, parts) if parts.exists(_.isInstanceOf[UnresolvedPartitionSpec]) =>
+        failAnalysis("PartitionSpecs are not resolved")
+
       // Skip atomic partition tables
       case (_: SupportsAtomicPartitionManagement, _) =>
       case (_: SupportsPartitionManagement, parts) if parts.size > 1 =>
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/connector/AlterTablePartitionV2SQLSuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/connector/AlterTablePartitionV2SQLSuite.scala
index 3583eceec7..47b5e5e54e 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/connector/AlterTablePartitionV2SQLSuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/connector/AlterTablePartitionV2SQLSuite.scala
@@ -245,4 +245,20 @@ class AlterTablePartitionV2SQLSuite extends DatasourceV2SQLBase {
       assert(!partTable.partitionExists(expectedPartition))
     }
   }
+
+  test("SPARK-33650: add/drop partition into a table which doesn't support partition management") {
+    val t = "testcat.ns1.ns2.tbl"
+    withTable(t) {
+      spark.sql(s"CREATE TABLE $t (id bigint, data string) USING _")
+      Seq(
+        s"ALTER TABLE $t ADD PARTITION (id=1)",
+        s"ALTER TABLE $t DROP PARTITION (id=1)"
+      ).foreach { alterTable =>
+        val errMsg = intercept[AnalysisException] {
+          spark.sql(alterTable)
+        }.getMessage
+        assert(errMsg.contains(s"Table $t can not alter partitions"))
+      }
+    }
+  }
 }