diff --git a/src/common/function/src/aggrs/aggr_wrapper.rs b/src/common/function/src/aggrs/aggr_wrapper.rs
index d76565b4dd..686482aa8a 100644
--- a/src/common/function/src/aggrs/aggr_wrapper.rs
+++ b/src/common/function/src/aggrs/aggr_wrapper.rs
@@ -324,6 +324,17 @@ impl AggregateUDFImpl for StateWrapper {
             is_distinct: false,
         };
         let state_fields = self.inner.state_fields(state_fields_args)?;
+
+        let state_fields = state_fields
+            .into_iter()
+            .map(|f| {
+                let mut f = f.as_ref().clone();
+                // since state can be null when no input rows, so make all fields nullable
+                f.set_nullable(true);
+                Arc::new(f)
+            })
+            .collect::<Vec<_>>();
+
         let struct_field = DataType::Struct(state_fields.into());
         Ok(struct_field)
     }
@@ -388,6 +399,38 @@ impl Accumulator for StateAccum {
             .iter()
             .map(|s| s.to_array())
             .collect::<Result<Vec<_>, _>>()?;
+        let array_type = array
+            .iter()
+            .map(|a| a.data_type().clone())
+            .collect::<Vec<_>>();
+        let expected_type: Vec<_> = self
+            .state_fields
+            .iter()
+            .map(|f| f.data_type().clone())
+            .collect();
+        if array_type != expected_type {
+            debug!(
+                "State mismatch, expected: {}, got: {} for expected fields: {:?} and given array types: {:?}",
+                self.state_fields.len(),
+                array.len(),
+                self.state_fields,
+                array_type,
+            );
+            let guess_schema = array
+                .iter()
+                .enumerate()
+                .map(|(index, array)| {
+                    Field::new(
+                        format!("col_{index}[mismatch_state]").as_str(),
+                        array.data_type().clone(),
+                        true,
+                    )
+                })
+                .collect::<Fields>();
+            let arr = StructArray::try_new(guess_schema, array, None)?;
+
+            return Ok(ScalarValue::Struct(Arc::new(arr)));
+        }
         let struct_array = StructArray::try_new(self.state_fields.clone(), array, None)?;
         Ok(ScalarValue::Struct(Arc::new(struct_array)))
     }
diff --git a/src/query/src/dist_plan/analyzer/test.rs b/src/query/src/dist_plan/analyzer/test.rs
index 722e888f14..0e1947f48c 100644
--- a/src/query/src/dist_plan/analyzer/test.rs
+++ b/src/query/src/dist_plan/analyzer/test.rs
@@ -23,7 +23,7 @@ use common_recordbatch::error::Result as RecordBatchResult;
 use common_recordbatch::{OrderOption, RecordBatch, RecordBatchStream, SendableRecordBatchStream};
 use common_telemetry::init_default_ut_logging;
 use datafusion::datasource::DefaultTableSource;
-use datafusion::functions_aggregate::expr_fn::avg;
+use datafusion::functions_aggregate::expr_fn::{avg, last_value};
 use datafusion::functions_aggregate::min_max::{max, min};
 use datafusion_common::JoinType;
 use datafusion_expr::expr::ScalarFunction;
@@ -1494,3 +1494,36 @@ fn date_bin_ts_group_by() {
     .join("\n");
     assert_eq!(expected, result.to_string());
 }
+
+/// check that `last_value(ts order by ts)` won't be push down
+#[test]
+fn test_not_push_down_aggr_order_by() {
+    init_default_ut_logging();
+    let test_table = TestTable::table_with_name(0, "t".to_string());
+    let table_source = Arc::new(DefaultTableSource::new(Arc::new(
+        DfTableProviderAdapter::new(test_table),
+    )));
+    let plan = LogicalPlanBuilder::scan_with_filters("t", table_source, None, vec![])
+        .unwrap()
+        .aggregate(
+            Vec::<Expr>::new(),
+            vec![last_value(col("ts"), vec![col("ts").sort(true, false)])],
+        )
+        .unwrap()
+        .build()
+        .unwrap();
+
+    let config = ConfigOptions::default();
+    let result = DistPlannerAnalyzer {}.analyze(plan, &config).unwrap();
+
+    let expected = [
+        "Aggregate: groupBy=[[]], aggr=[[last_value(t.ts) ORDER BY [t.ts ASC NULLS LAST]]]",
+        "  Projection: t.pk1, t.pk2, t.pk3, t.ts, t.number",
+        "    MergeScan [is_placeholder=false, remote_input=[",
+        "TableScan: t",
+        "]]",
+    ]
+    .join("\n");
+
+    assert_eq!(expected, result.to_string());
+}
diff --git a/src/query/src/dist_plan/commutativity.rs b/src/query/src/dist_plan/commutativity.rs
index 2fbeaf004f..008e19c583 100644
--- a/src/query/src/dist_plan/commutativity.rs
+++ b/src/query/src/dist_plan/commutativity.rs
@@ -79,8 +79,11 @@ pub fn step_aggr_to_upper_aggr(
 pub fn is_all_aggr_exprs_steppable(aggr_exprs: &[Expr]) -> bool {
     aggr_exprs.iter().all(|expr| {
         if let Some(aggr_func) = get_aggr_func(expr) {
-            if aggr_func.params.distinct {
-                // Distinct aggregate functions are not steppable(yet).
+            if aggr_func.params.distinct
+                || !aggr_func.params.order_by.is_empty()
+                || aggr_func.params.filter.is_some()
+            {
+                // Distinct aggregate functions/order by/filter in aggr args are not steppable(yet).
                 return false;
             }