diff --git a/src/QueryBuilder/AbstractDMLQueryBuilder.php b/src/QueryBuilder/AbstractDMLQueryBuilder.php
index 03ff04fdf..40809c8ae 100644
--- a/src/QueryBuilder/AbstractDMLQueryBuilder.php
+++ b/src/QueryBuilder/AbstractDMLQueryBuilder.php
@@ -67,6 +67,14 @@ public function batchInsert(string $table, array $columns, iterable $rows, array
             return '';
         }
 
+        while ($rows instanceof IteratorAggregate) {
+            $rows = $rows->getIterator();
+        }
+
+        if ($rows instanceof Iterator && !$rows->valid()) {
+            return '';
+        }
+
         $columns = $this->extractColumnNames($rows, $columns);
         $values = $this->prepareBatchInsertValues($table, $rows, $columns, $params);
 
@@ -149,11 +157,12 @@ protected function prepareBatchInsertValues(string $table, iterable $rows, array
         /** @var string[] $columnNames */
         $columnNames = array_values($columns);
         $columnKeys = array_combine($columnNames, $columnNames);
+        $columnNulls = array_fill_keys($columnNames, 'NULL');
         $columnSchemas = $this->schema->getTableSchema($table)?->getColumns() ?? [];
 
         foreach ($rows as $row) {
             $i = 0;
-            $placeholders = $columnKeys;
+            $placeholders = $columnNulls;
 
             /** @var int|string $key */
             foreach ($row as $key => $value) {
@@ -181,12 +190,12 @@ protected function prepareBatchInsertValues(string $table, iterable $rows, array
     /**
      * Extract column names from columns and rows.
      *
-     * @param iterable $rows The rows to be batch inserted into the table.
+     * @param array[]|Iterator $rows The rows to be batch inserted into the table.
      * @param string[] $columns The column names.
      *
      * @return string[] The column names.
      */
-    protected function extractColumnNames(iterable $rows, array $columns): array
+    protected function extractColumnNames(array|Iterator $rows, array $columns): array
     {
         $columns = $this->getNormalizeColumnNames('', $columns);
 
@@ -194,14 +203,9 @@ protected function extractColumnNames(iterable $rows, array $columns): array
             return $columns;
         }
 
-        while ($rows instanceof IteratorAggregate && !$rows instanceof Iterator) {
-            $rows = $rows->getIterator();
-        }
-
         if ($rows instanceof Iterator) {
             $row = $rows->current();
         } else {
-            /** @var array[] $rows */
             $row = reset($rows);
         }
 
diff --git a/tests/Common/CommonCommandTest.php b/tests/Common/CommonCommandTest.php
index 89710879f..1f09b5f59 100644
--- a/tests/Common/CommonCommandTest.php
+++ b/tests/Common/CommonCommandTest.php
@@ -305,7 +305,7 @@ public function testAddUnique(string $name, string $tableName, array|string $col
     public function testBatchInsert(
         string $table,
         array $columns,
-        array $values,
+        iterable $values,
         string $expected,
         array $expectedParams = [],
         int $insertedRow = 1
diff --git a/tests/Provider/CommandProvider.php b/tests/Provider/CommandProvider.php
index 689426f80..b85319649 100644
--- a/tests/Provider/CommandProvider.php
+++ b/tests/Provider/CommandProvider.php
@@ -5,6 +5,8 @@
 namespace Yiisoft\Db\Tests\Provider;
 
 use ArrayIterator;
+use IteratorAggregate;
+use Traversable;
 use Yiisoft\Db\Command\DataType;
 use Yiisoft\Db\Command\Param;
 use Yiisoft\Db\Expression\Expression;
@@ -462,7 +464,7 @@ public static function batchInsert(): array
                     ':qp3' => true,
                 ],
             ],
-            'empty columns and Traversable' => [
+            'empty columns and a Traversable value' => [
                 'type',
                 [],
                 'values' => [new ArrayIterator(['int_col' => '1.0', 'float_col' => '2', 'char_col' => 10, 'bool_col' => 1])],
@@ -479,6 +481,28 @@ public static function batchInsert(): array
                     ':qp3' => true,
                 ],
             ],
+            'empty columns and Traversable values' => [
+                'type',
+                [],
+                'values' => new class implements IteratorAggregate {
+                    public function getIterator(): Traversable
+                    {
+                        yield ['int_col' => '1.0', 'float_col' => '2', 'char_col' => 10, 'bool_col' => 1];
+                    }
+                },
+                'expected' => DbHelper::replaceQuotes(
+                    <<<SQL
+                    INSERT INTO [[type]] ([[int_col]], [[float_col]], [[char_col]], [[bool_col]]) VALUES (:qp0, :qp1, :qp2, :qp3)
+                    SQL,
+                    static::$driverName,
+                ),
+                'expectedParams' => [
+                    ':qp0' => 1,
+                    ':qp1' => 2.0,
+                    ':qp2' => '10',
+                    ':qp3' => true,
+                ],
+            ],
         ];
     }
 
diff --git a/tests/Provider/QueryBuilderProvider.php b/tests/Provider/QueryBuilderProvider.php
index f37f97ebf..2db3eee8b 100644
--- a/tests/Provider/QueryBuilderProvider.php
+++ b/tests/Provider/QueryBuilderProvider.php
@@ -252,6 +252,18 @@ public static function batchInsert(): array
                     ':qp3' => 1,
                 ],
             ],
+            'skipped columns' => [
+                'customer',
+                ['email', 'name', 'address'],
+                'values' => [['email' => 'hello@localhost', 'address' => 'Earth, Solar System']],
+                'expected' => DbHelper::replaceQuotes(
+                    <<<SQL
+                    INSERT INTO [[customer]] ([[email]], [[name]], [[address]]) VALUES (:qp0, NULL, :qp1)
+                    SQL,
+                    static::$driverName,
+                ),
+                'expectedParams' => [':qp0' => 'hello@localhost', ':qp1' => 'Earth, Solar System'],
+            ],
         ];
     }