diff --git a/fluss-common/src/main/java/org/apache/fluss/utils/InternalRowUtils.java b/fluss-common/src/main/java/org/apache/fluss/utils/InternalRowUtils.java
index 438e17e9f6..c1ae060f90 100644
--- a/fluss-common/src/main/java/org/apache/fluss/utils/InternalRowUtils.java
+++ b/fluss-common/src/main/java/org/apache/fluss/utils/InternalRowUtils.java
@@ -24,13 +24,42 @@
 
 import org.apache.fluss.row.BinaryString;
 import org.apache.fluss.row.Decimal;
+import org.apache.fluss.row.InternalArray;
+import org.apache.fluss.row.InternalMap;
+import org.apache.fluss.row.InternalRow;
 import org.apache.fluss.row.TimestampLtz;
 import org.apache.fluss.row.TimestampNtz;
+import org.apache.fluss.types.ArrayType;
+import org.apache.fluss.types.DataType;
 import org.apache.fluss.types.DataTypeRoot;
+import org.apache.fluss.types.MapType;
+import org.apache.fluss.types.RowType;
 
 /** Utility class for {@link org.apache.fluss.row.InternalRow} related operations. */
 public class InternalRowUtils {
 
+    /**
+     * Compares two objects based on their data type.
+     *
+     * @param x the first object
+     * @param y the second object
+     * @param type the data type
+     * @return a negative integer, zero, or a positive integer as x is less than, equal to, or
+     *     greater than y
+     */
+    public static int compare(Object x, Object y, DataType type) {
+        switch (type.getTypeRoot()) {
+            case ARRAY:
+                return compareArray((InternalArray) x, (InternalArray) y, (ArrayType) type);
+            case ROW:
+                return compareRow((InternalRow) x, (InternalRow) y, (RowType) type);
+            case MAP:
+                return compareMap((InternalMap) x, (InternalMap) y, (MapType) type);
+            default:
+                return compare(x, y, type.getTypeRoot());
+        }
+    }
+
     /**
      * Compares two objects based on their data type.
      *
@@ -92,6 +121,64 @@ public static int compare(Object x, Object y, DataTypeRoot type) {
         return ret;
     }
 
+    private static int compareArray(InternalArray a1, InternalArray a2, ArrayType type) {
+        int size1 = a1.size();
+        int size2 = a2.size();
+        int size = Math.min(size1, size2);
+        InternalArray.ElementGetter getter =
+                InternalArray.createElementGetter(type.getElementType());
+
+        for (int i = 0; i < size; i++) {
+            Object o1 = getter.getElementOrNull(a1, i);
+            Object o2 = getter.getElementOrNull(a2, i);
+
+            if (o1 == null && o2 == null) {
+                continue;
+            }
+            if (o1 == null) {
+                return -1;
+            }
+            if (o2 == null) {
+                return 1;
+            }
+
+            int cmp = compare(o1, o2, type.getElementType());
+            if (cmp != 0) {
+                return cmp;
+            }
+        }
+        return Integer.compare(size1, size2);
+    }
+
+    private static int compareRow(InternalRow r1, InternalRow r2, RowType type) {
+        int count = type.getFieldCount();
+        for (int i = 0; i < count; i++) {
+            InternalRow.FieldGetter getter = InternalRow.createFieldGetter(type.getTypeAt(i), i);
+            Object o1 = getter.getFieldOrNull(r1);
+            Object o2 = getter.getFieldOrNull(r2);
+
+            if (o1 == null && o2 == null) {
+                continue;
+            }
+            if (o1 == null) {
+                return -1;
+            }
+            if (o2 == null) {
+                return 1;
+            }
+
+            int cmp = compare(o1, o2, type.getTypeAt(i));
+            if (cmp != 0) {
+                return cmp;
+            }
+        }
+        return 0;
+    }
+
+    private static int compareMap(InternalMap m1, InternalMap m2, MapType type) {
+        throw new IllegalArgumentException("Map type is not comparable: " + type);
+    }
+
     private static int byteArrayCompare(byte[] array1, byte[] array2) {
         for (int i = 0, j = 0; i < array1.length && j < array2.length; i++, j++) {
             int a = (array1[i] & 0xff);
diff --git a/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMaxAgg.java b/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMaxAgg.java
index 812dc84306..fbb4cffcbb 100644
--- a/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMaxAgg.java
+++ b/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMaxAgg.java
@@ -39,7 +39,7 @@ public Object agg(Object accumulator, Object inputField) {
         if (accumulator == null || inputField == null) {
             return accumulator == null ? inputField : accumulator;
         }
-        return InternalRowUtils.compare(accumulator, inputField, typeRoot) < 0
+        return InternalRowUtils.compare(accumulator, inputField, fieldType) < 0
                 ? inputField
                 : accumulator;
     }
diff --git a/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMinAgg.java b/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMinAgg.java
index eba6f49f5b..2b4da38d22 100644
--- a/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMinAgg.java
+++ b/fluss-server/src/main/java/org/apache/fluss/server/kv/rowmerger/aggregate/functions/FieldMinAgg.java
@@ -40,7 +40,7 @@ public Object agg(Object accumulator, Object inputField) {
             return accumulator == null ? inputField : accumulator;
         }
 
-        return InternalRowUtils.compare(accumulator, inputField, typeRoot) < 0
+        return InternalRowUtils.compare(accumulator, inputField, fieldType) < 0
                 ? accumulator
                 : inputField;
     }
diff --git a/fluss-server/src/test/java/org/apache/fluss/server/kv/rowmerger/aggregate/ComplexTypeAggregationTest.java b/fluss-server/src/test/java/org/apache/fluss/server/kv/rowmerger/aggregate/ComplexTypeAggregationTest.java
new file mode 100644
index 0000000000..ec98a4b4cb
--- /dev/null
+++ b/fluss-server/src/test/java/org/apache/fluss/server/kv/rowmerger/aggregate/ComplexTypeAggregationTest.java
@@ -0,0 +1,164 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.fluss.server.kv.rowmerger.aggregate;
+
+import org.apache.fluss.config.Configuration;
+import org.apache.fluss.config.TableConfig;
+import org.apache.fluss.metadata.AggFunctions;
+import org.apache.fluss.metadata.KvFormat;
+import org.apache.fluss.metadata.Schema;
+import org.apache.fluss.metadata.SchemaInfo;
+import org.apache.fluss.record.BinaryValue;
+import org.apache.fluss.record.TestingSchemaGetter;
+import org.apache.fluss.row.BinaryArray;
+import org.apache.fluss.row.BinaryRow;
+import org.apache.fluss.row.BinaryString;
+import org.apache.fluss.row.encode.RowEncoder;
+import org.apache.fluss.server.kv.rowmerger.AggregateRowMerger;
+import org.apache.fluss.types.DataTypes;
+import org.apache.fluss.types.RowType;
+
+import org.junit.jupiter.api.Test;
+
+import static org.assertj.core.api.Assertions.assertThat;
+
+class ComplexTypeAggregationTest {
+
+    private static final short SCHEMA_ID = (short) 1;
+
+    @Test
+    void testArrayLastValue() {
+        Schema schema =
+                Schema.newBuilder()
+                        .column("id", DataTypes.INT())
+                        .column("arr", DataTypes.ARRAY(DataTypes.INT()), AggFunctions.LAST_VALUE())
+                        .primaryKey("id")
+                        .build();
+
+        TableConfig tableConfig = new TableConfig(new Configuration());
+        AggregateRowMerger merger = createMerger(schema, tableConfig);
+
+        BinaryArray arr1 = BinaryArray.fromPrimitiveArray(new int[] {1, 2, 3});
+        BinaryArray arr2 = BinaryArray.fromPrimitiveArray(new int[] {4, 5, 6});
+
+        BinaryRow row1 = compactedRow(schema.getRowType(), new Object[] {1, arr1});
+        BinaryRow row2 = compactedRow(schema.getRowType(), new Object[] {1, arr2});
+
+        BinaryValue merged = merger.merge(toBinaryValue(row1), toBinaryValue(row2));
+
+        BinaryArray resultArr = (BinaryArray) merged.row.getArray(1);
+        assertThat(resultArr).isEqualTo(arr2);
+    }
+
+    @Test
+    void testArrayMinMax() {
+        Schema schema =
+                Schema.newBuilder()
+                        .column("id", DataTypes.INT())
+                        .column("min_arr", DataTypes.ARRAY(DataTypes.INT()), AggFunctions.MIN())
+                        .column("max_arr", DataTypes.ARRAY(DataTypes.INT()), AggFunctions.MAX())
+                        .primaryKey("id")
+                        .build();
+
+        TableConfig tableConfig = new TableConfig(new Configuration());
+        AggregateRowMerger merger = createMerger(schema, tableConfig);
+
+        // arr1 < arr2
+        BinaryArray arr1 = BinaryArray.fromPrimitiveArray(new int[] {1, 2, 3});
+        BinaryArray arr2 = BinaryArray.fromPrimitiveArray(new int[] {1, 2, 4});
+
+        BinaryRow row1 = compactedRow(schema.getRowType(), new Object[] {1, arr1, arr1});
+        BinaryRow row2 = compactedRow(schema.getRowType(), new Object[] {1, arr2, arr2});
+
+        BinaryValue merged = merger.merge(toBinaryValue(row1), toBinaryValue(row2));
+
+        BinaryArray minResult = (BinaryArray) merged.row.getArray(1);
+        BinaryArray maxResult = (BinaryArray) merged.row.getArray(2);
+
+        assertThat(minResult).isEqualTo(arr1);
+        assertThat(maxResult).isEqualTo(arr2);
+
+        // Test with different sizes
+        // arr3 < arr1 (size 2 vs 3, prefix match)
+        BinaryArray arr3 = BinaryArray.fromPrimitiveArray(new int[] {1, 2});
+        BinaryRow row3 = compactedRow(schema.getRowType(), new Object[] {1, arr3, arr3});
+
+        merged = merger.merge(toBinaryValue(row1), toBinaryValue(row3));
+        minResult = (BinaryArray) merged.row.getArray(1);
+        maxResult = (BinaryArray) merged.row.getArray(2);
+
+        assertThat(minResult).isEqualTo(arr3);
+        assertThat(maxResult).isEqualTo(arr1);
+    }
+
+    @Test
+    void testRowMinMax() {
+        RowType nestedRowType = RowType.of(DataTypes.INT(), DataTypes.STRING());
+        Schema schema =
+                Schema.newBuilder()
+                        .column("id", DataTypes.INT())
+                        .column("min_row", nestedRowType, AggFunctions.MIN())
+                        .column("max_row", nestedRowType, AggFunctions.MAX())
+                        .primaryKey("id")
+                        .build();
+
+        TableConfig tableConfig = new TableConfig(new Configuration());
+        AggregateRowMerger merger = createMerger(schema, tableConfig);
+
+        // row1 < row2
+        BinaryRow nestedRow1 =
+                compactedRow(nestedRowType, new Object[] {1, BinaryString.fromString("a")});
+        BinaryRow nestedRow2 =
+                compactedRow(nestedRowType, new Object[] {1, BinaryString.fromString("b")});
+
+        BinaryRow row1 =
+                compactedRow(schema.getRowType(), new Object[] {1, nestedRow1, nestedRow1});
+        BinaryRow row2 =
+                compactedRow(schema.getRowType(), new Object[] {1, nestedRow2, nestedRow2});
+
+        BinaryValue merged = merger.merge(toBinaryValue(row1), toBinaryValue(row2));
+
+        BinaryRow minResult = (BinaryRow) merged.row.getRow(1, 2);
+        BinaryRow maxResult = (BinaryRow) merged.row.getRow(2, 2);
+
+        assertThat(minResult).isEqualTo(nestedRow1);
+        assertThat(maxResult).isEqualTo(nestedRow2);
+    }
+
+    private BinaryValue toBinaryValue(BinaryRow row) {
+        return new BinaryValue(SCHEMA_ID, row);
+    }
+
+    private AggregateRowMerger createMerger(Schema schema, TableConfig tableConfig) {
+        TestingSchemaGetter schemaGetter =
+                new TestingSchemaGetter(new SchemaInfo(schema, (short) 1));
+        AggregateRowMerger merger =
+                new AggregateRowMerger(tableConfig, tableConfig.getKvFormat(), schemaGetter);
+        merger.configureTargetColumns(null, (short) 1, schema);
+        return merger;
+    }
+
+    private BinaryRow compactedRow(RowType rowType, Object[] values) {
+        RowEncoder encoder = RowEncoder.create(KvFormat.COMPACTED, rowType);
+        encoder.startNewRow();
+        for (int i = 0; i < values.length; i++) {
+            encoder.encodeField(i, values[i]);
+        }
+        return encoder.finishRow();
+    }
+}