diff --git a/core/modules/config_translation/migration_templates/d6_i18n_system_maintenance.yml b/core/modules/config_translation/migration_templates/d6_i18n_system_maintenance.yml
index c2270192892a..1c99961cc8d2 100644
--- a/core/modules/config_translation/migration_templates/d6_i18n_system_maintenance.yml
+++ b/core/modules/config_translation/migration_templates/d6_i18n_system_maintenance.yml
@@ -12,3 +12,4 @@ process:
 destination:
   plugin: config
   config_name: system.maintenance
+  translations: true
diff --git a/core/modules/config_translation/migration_templates/d6_i18n_system_site.yml b/core/modules/config_translation/migration_templates/d6_i18n_system_site.yml
index 9c9337c42faa..3c80821337c0 100644
--- a/core/modules/config_translation/migration_templates/d6_i18n_system_site.yml
+++ b/core/modules/config_translation/migration_templates/d6_i18n_system_site.yml
@@ -36,3 +36,4 @@ process:
 destination:
   plugin: config
   config_name: system.site
+  translations: true
diff --git a/core/modules/config_translation/migration_templates/d6_i18n_user_mail.yml b/core/modules/config_translation/migration_templates/d6_i18n_user_mail.yml
index b3c916f786ff..d1e5db501b82 100644
--- a/core/modules/config_translation/migration_templates/d6_i18n_user_mail.yml
+++ b/core/modules/config_translation/migration_templates/d6_i18n_user_mail.yml
@@ -66,3 +66,4 @@ process:
 destination:
   plugin: config
   config_name: user.mail
+  translations: true
diff --git a/core/modules/config_translation/migration_templates/d6_i18n_user_settings.yml b/core/modules/config_translation/migration_templates/d6_i18n_user_settings.yml
index 979a74a4efb4..36b0fa6c8822 100644
--- a/core/modules/config_translation/migration_templates/d6_i18n_user_settings.yml
+++ b/core/modules/config_translation/migration_templates/d6_i18n_user_settings.yml
@@ -27,3 +27,4 @@ process:
 destination:
   plugin: config
   config_name: user.settings
+  translations: true
diff --git a/core/modules/migrate/src/Plugin/migrate/destination/Config.php b/core/modules/migrate/src/Plugin/migrate/destination/Config.php
index 32d5e1bff0a4..422037be5e2f 100644
--- a/core/modules/migrate/src/Plugin/migrate/destination/Config.php
+++ b/core/modules/migrate/src/Plugin/migrate/destination/Config.php
@@ -54,13 +54,16 @@ class Config extends DestinationBase implements ContainerFactoryPluginInterface,
    *   The migration entity.
    * @param \Drupal\Core\Config\ConfigFactoryInterface $config_factory
    *   The configuration factory.
-   * @param \Drupal\Core\Language\ConfigurableLanguageManagerInterface $language_manager
+   * @param \Drupal\Core\Language\LanguageManagerInterface $language_manager
    *   The language manager.
    */
   public function __construct(array $configuration, $plugin_id, $plugin_definition, MigrationInterface $migration, ConfigFactoryInterface $config_factory, LanguageManagerInterface $language_manager) {
     parent::__construct($configuration, $plugin_id, $plugin_definition, $migration);
     $this->config = $config_factory->getEditable($configuration['config_name']);
     $this->language_manager = $language_manager;
+    if ($this->isTranslationDestination()) {
+      $this->supportsRollback = TRUE;
+    }
   }
 
   /**
@@ -81,7 +84,7 @@ class Config extends DestinationBase implements ContainerFactoryPluginInterface,
    * {@inheritdoc}
    */
   public function import(Row $row, array $old_destination_id_values = array()) {
-    if ($row->hasDestinationProperty('langcode')) {
+    if ($this->isTranslationDestination()) {
       $this->config = $this->language_manager->getLanguageConfigOverride($row->getDestinationProperty('langcode'), $this->config->getName());
     }
 
@@ -91,7 +94,11 @@ class Config extends DestinationBase implements ContainerFactoryPluginInterface,
       }
     }
     $this->config->save();
-    return [$this->config->getName()];
+    $ids[] = $this->config->getName();
+    if ($this->isTranslationDestination()) {
+      $ids[] = $row->getDestinationProperty('langcode');
+    }
+    return $ids;
   }
 
   /**
@@ -106,6 +113,9 @@ class Config extends DestinationBase implements ContainerFactoryPluginInterface,
    */
   public function getIds() {
     $ids['config_name']['type'] = 'string';
+    if ($this->isTranslationDestination()) {
+      $ids['langcode']['type'] = 'string';
+    }
     return $ids;
   }
 
@@ -118,4 +128,25 @@ class Config extends DestinationBase implements ContainerFactoryPluginInterface,
     return $this->dependencies;
   }
 
+  /**
+   * Get whether this destination is for translations.
+   *
+   * @return bool
+   *   Whether this destination is for translations.
+   */
+  protected function isTranslationDestination() {
+    return !empty($this->configuration['translations']);
+  }
+
+  /**
+   * {@inheritdoc}
+   */
+  public function rollback(array $destination_identifier) {
+    if ($this->isTranslationDestination()) {
+      $language = $destination_identifier['langcode'];
+      $config = $this->language_manager->getLanguageConfigOverride($language, $this->config->getName());
+      $config->delete();
+    }
+  }
+
 }
diff --git a/core/modules/migrate/tests/src/Kernel/MigrateConfigRollbackTest.php b/core/modules/migrate/tests/src/Kernel/MigrateConfigRollbackTest.php
new file mode 100644
index 000000000000..14e50b951450
--- /dev/null
+++ b/core/modules/migrate/tests/src/Kernel/MigrateConfigRollbackTest.php
@@ -0,0 +1,170 @@
+<?php
+
+namespace Drupal\Tests\migrate\Kernel;
+
+use Drupal\migrate\MigrateExecutable;
+
+/**
+ * Tests rolling back of configuration objects.
+ *
+ * @group migrate
+ */
+class MigrateConfigRollbackTest extends MigrateTestBase {
+
+  /**
+   * Modules to enable.
+   *
+   * @var array
+   */
+  public static $modules = ['system', 'language', 'config_translation'];
+
+  /**
+   * Tests rolling back configuration.
+   */
+  public function testConfigRollback() {
+    // Use system.site configuration to demonstrate importing and rolling back
+    // configuration.
+    $variable = [
+      [
+        'id' => 'site_name',
+        'site_name' => 'Some site',
+        'site_slogan' => 'Awesome slogan',
+      ],
+    ];
+    $ids = [
+      'id' =>
+        [
+          'type' => 'string'
+        ],
+    ];
+    $definition = [
+      'id' => 'config',
+      'migration_tags' => ['Import and rollback test'],
+      'source' => [
+        'plugin' => 'embedded_data',
+        'data_rows' => $variable,
+        'ids' => $ids,
+      ],
+      'process' => [
+        'name' => 'site_name',
+        'slogan' => 'site_slogan',
+      ],
+      'destination' => [
+        'plugin' => 'config',
+        'config_name' => 'system.site',
+      ],
+    ];
+
+    /** @var \Drupal\migrate\Plugin\Migration $config_migration */
+    $config_migration = \Drupal::service('plugin.manager.migration')
+      ->createStubMigration($definition);
+    $config_id_map = $config_migration->getIdMap();
+
+    // Rollback is not enabled for configuration translations.
+    $this->assertFalse($config_migration->getDestinationPlugin()->supportsRollback());
+
+    // Import and validate config entities were created.
+    $config_executable = new MigrateExecutable($config_migration, $this);
+    $config_executable->import();
+    $config = $this->config('system.site');
+    $this->assertSame('Some site', $config->get('name'));
+    $this->assertSame('Awesome slogan', $config->get('slogan'));
+    $map_row = $config_id_map->getRowBySource(['id' => $variable[0]['id']]);
+    $this->assertNotNull($map_row['destid1']);
+
+    // Rollback and verify the configuration changes are still there.
+    $config_executable->rollback();
+    $config = $this->config('system.site');
+    $this->assertSame('Some site', $config->get('name'));
+    $this->assertSame('Awesome slogan', $config->get('slogan'));
+    // Confirm the map row is deleted.
+    $map_row = $config_id_map->getRowBySource(['id' => $variable[0]['id']]);
+    $this->assertNull($map_row['destid1']);
+
+    // We use system configuration to demonstrate importing and rolling back
+    // configuration translations.
+    $i18n_variable = [
+      [
+        'id' => 'site_name',
+        'language' => 'fr',
+        'site_name' => 'fr - Some site',
+        'site_slogan' => 'fr - Awesome slogan',
+      ],
+      [
+        'id' => 'site_name',
+        'language' => 'is',
+        'site_name' => 'is - Some site',
+        'site_slogan' => 'is - Awesome slogan',
+      ],
+    ];
+    $ids = [
+      'id' =>
+        [
+          'type' => 'string'
+        ],
+      'language' =>
+        [
+          'type' => 'string'
+        ]
+    ];
+    $definition = [
+      'id' => 'i18n_config',
+      'migration_tags' => ['Import and rollback test'],
+      'source' => [
+        'plugin' => 'embedded_data',
+        'data_rows' => $i18n_variable,
+        'ids' => $ids,
+      ],
+      'process' => [
+        'langcode' => 'language',
+        'name' => 'site_name',
+        'slogan' => 'site_slogan',
+      ],
+      'destination' => [
+        'plugin' => 'config',
+        'config_name' => 'system.site',
+        'translations' => 'true',
+      ],
+    ];
+
+    $config_migration = \Drupal::service('plugin.manager.migration')
+      ->createStubMigration($definition);
+    $config_id_map = $config_migration->getIdMap();
+
+    // Rollback is enabled for configuration translations.
+    $this->assertTrue($config_migration->getDestinationPlugin()->supportsRollback());
+
+    // Import and validate config entities were created.
+    $config_executable = new MigrateExecutable($config_migration, $this);
+    $config_executable->import();
+
+    $language_manager = \Drupal::service('language_manager');
+    foreach ($i18n_variable as $row) {
+      $langcode = $row['language'];
+      /** @var \Drupal\language\Config\LanguageConfigOverride $config_translation */
+      $config_translation = $language_manager->getLanguageConfigOverride($langcode, 'system.site');
+      $this->assertSame($row['site_name'], $config_translation->get('name'));
+      $this->assertSame($row['site_slogan'], $config_translation->get('slogan'));
+      $map_row = $config_id_map->getRowBySource(['id' => $row['id'], 'language' => $row['language']]);
+      $this->assertNotNull($map_row['destid1']);
+    }
+
+    // Rollback and verify the translation have been removed.
+    $config_executable->rollback();
+    foreach ($i18n_variable as $row) {
+      $langcode = $row['language'];
+      $config_translation = $language_manager->getLanguageConfigOverride($langcode, 'system.site');
+      $this->assertNull($config_translation->get('name'));
+      $this->assertNull($config_translation->get('slogan'));
+      // Confirm the map row is deleted.
+      $map_row = $config_id_map->getRowBySource(['id' => $row['id'], 'language' => $langcode]);
+      $this->assertFalse($map_row);
+    }
+
+    // Test that the configuration is still present.
+    $config = $this->config('system.site');
+    $this->assertSame('Some site', $config->get('name'));
+    $this->assertSame('Awesome slogan', $config->get('slogan'));
+  }
+
+}
diff --git a/core/modules/migrate/tests/src/Unit/destination/ConfigTest.php b/core/modules/migrate/tests/src/Unit/destination/ConfigTest.php
index 59b93d54e545..25eeebb1802f 100644
--- a/core/modules/migrate/tests/src/Unit/destination/ConfigTest.php
+++ b/core/modules/migrate/tests/src/Unit/destination/ConfigTest.php
@@ -44,9 +44,6 @@ class ConfigTest extends UnitTestCase {
     $row = $this->getMockBuilder('Drupal\migrate\Row')
       ->disableOriginalConstructor()
       ->getMock();
-    $row->expects($this->once())
-      ->method('hasDestinationProperty')
-      ->will($this->returnValue(FALSE));
     $row->expects($this->any())
       ->method('getRawDestination')
       ->will($this->returnValue($source));
@@ -94,9 +91,6 @@ class ConfigTest extends UnitTestCase {
     $row = $this->getMockBuilder('Drupal\migrate\Row')
       ->disableOriginalConstructor()
       ->getMock();
-    $row->expects($this->once())
-      ->method('hasDestinationProperty')
-      ->will($this->returnValue($source));
     $row->expects($this->any())
       ->method('getRawDestination')
       ->will($this->returnValue($source));
@@ -110,9 +104,9 @@ class ConfigTest extends UnitTestCase {
       ->method('getLanguageConfigOverride')
       ->with('mi', 'd8_config')
       ->will($this->returnValue($config));
-    $destination = new Config(array('config_name' => 'd8_config'), 'd8_config', array('pluginId' => 'd8_config'), $migration, $config_factory, $language_manager);
+    $destination = new Config(array('config_name' => 'd8_config', 'translations' => 'true'), 'd8_config', array('pluginId' => 'd8_config'), $migration, $config_factory, $language_manager);
     $destination_id = $destination->import($row);
-    $this->assertEquals($destination_id, ['d8_config']);
+    $this->assertEquals($destination_id, ['d8_config', 'mi']);
   }
 
 }