diff --git a/fe/fe-core/src/main/java/org/apache/doris/analysis/AnalyzeTblStmt.java b/fe/fe-core/src/main/java/org/apache/doris/analysis/AnalyzeTblStmt.java
index f69787f7e32c05..a88cd137ad53d7 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/analysis/AnalyzeTblStmt.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/analysis/AnalyzeTblStmt.java
@@ -34,7 +34,6 @@
 import org.apache.doris.mysql.privilege.PrivPredicate;
 import org.apache.doris.qe.ConnectContext;
 import org.apache.doris.statistics.AnalysisInfo.AnalysisType;
-import org.apache.doris.statistics.ColumnStatistic;
 import org.apache.doris.statistics.util.StatisticsUtil;
 
 import com.google.common.collect.Sets;
@@ -193,7 +192,7 @@ private void checkColumn() throws AnalysisException {
                 ErrorReport.reportAnalysisException(ErrorCode.ERR_WRONG_COLUMN_NAME,
                         colName, FeNameFormat.getColumnNameRegex());
             }
-            if (ColumnStatistic.UNSUPPORTED_TYPE.contains(column.getType())) {
+            if (StatisticsUtil.isUnsupportedType(column.getType())) {
                 containsUnsupportedTytpe = true;
             }
         }
diff --git a/fe/fe-core/src/main/java/org/apache/doris/statistics/util/StatisticsUtil.java b/fe/fe-core/src/main/java/org/apache/doris/statistics/util/StatisticsUtil.java
index 59fe04339f3de8..f3638da169c641 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/statistics/util/StatisticsUtil.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/statistics/util/StatisticsUtil.java
@@ -31,6 +31,7 @@
 import org.apache.doris.analysis.TableName;
 import org.apache.doris.analysis.UserIdentity;
 import org.apache.doris.analysis.VariableExpr;
+import org.apache.doris.catalog.AggStateType;
 import org.apache.doris.catalog.ArrayType;
 import org.apache.doris.catalog.Column;
 import org.apache.doris.catalog.DatabaseIf;
@@ -761,7 +762,8 @@ public static boolean isUnsupportedType(Type type) {
         return type instanceof ArrayType
                 || type instanceof StructType
                 || type instanceof MapType
-                || type instanceof VariantType;
+                || type instanceof VariantType
+                || type instanceof AggStateType;
     }
 
     public static void sleep(long millis) {
diff --git a/regression-test/suites/statistics/test_agg_complex_type.groovy b/regression-test/suites/statistics/test_agg_complex_type.groovy
index 55af87f35bd632..4800959fe545be 100644
--- a/regression-test/suites/statistics/test_agg_complex_type.groovy
+++ b/regression-test/suites/statistics/test_agg_complex_type.groovy
@@ -17,12 +17,14 @@
 
 suite("test_analyze_with_agg_complex_type") {
     sql """drop table if exists test_agg_complex_type;"""
+    sql """set  enable_agg_state=true"""
 
     sql """create table test_agg_complex_type (
             datekey int,
             device_id bitmap BITMAP_UNION NULL,
                     hll_test hll hll_union,
-                    qs QUANTILE_STATE QUANTILE_UNION
+                    qs QUANTILE_STATE QUANTILE_UNION,
+                    agg_st_1 agg_state max_by(int ,int)
     )
     aggregate key (datekey)
     distributed by hash(datekey) buckets 1
@@ -30,9 +32,9 @@ suite("test_analyze_with_agg_complex_type") {
             "replication_num" = "1"
     );"""
 
-    sql """insert into test_agg_complex_type values (1,to_bitmap(1), hll_hash("11"), TO_QUANTILE_STATE("11", 1.0));"""
+    sql """insert into test_agg_complex_type values (1,to_bitmap(1), hll_hash("11"), TO_QUANTILE_STATE("11", 1.0), max_by_state(1,2));"""
     
-    sql """insert into test_agg_complex_type values (2, to_bitmap(1),  hll_hash("12"), TO_QUANTILE_STATE("11", 1.0));"""
+    sql """insert into test_agg_complex_type values (2, to_bitmap(1),  hll_hash("12"), TO_QUANTILE_STATE("11", 1.0), max_by_state(1,2));"""
     
     sql """ANALYZE TABLE test_agg_complex_type WITH SYNC"""