diff -u b/core/modules/taxonomy/migration_templates/d6_i18n_taxonomy_term.yml b/core/modules/taxonomy/migration_templates/d6_i18n_taxonomy_term.yml
--- b/core/modules/taxonomy/migration_templates/d6_i18n_taxonomy_term.yml
+++ b/core/modules/taxonomy/migration_templates/d6_i18n_taxonomy_term.yml
@@ -1,4 +1,4 @@
-id: d6_taxonomy_term
+id: d6_i18n_taxonomy_term
 label: Taxonomy terms
 migration_tags:
   - Drupal 6
@@ -37,0 +38 @@
+    - d6_taxonomy_term
reverted:
--- b/core/modules/taxonomy/migration_templates/d6_taxonomy_term.yml
+++ a/core/modules/taxonomy/migration_templates/d6_taxonomy_term.yml
@@ -1,4 +1,4 @@
+id: d6_taxonomy_term
-id: d6_i18n_taxonomy_term
 label: Taxonomy terms
 migration_tags:
   - Drupal 6
diff -u b/core/modules/taxonomy/src/Plugin/migrate/source/d6/I18nTerm.php b/core/modules/taxonomy/src/Plugin/migrate/source/d6/I18nTerm.php
--- b/core/modules/taxonomy/src/Plugin/migrate/source/d6/I18nTerm.php
+++ b/core/modules/taxonomy/src/Plugin/migrate/source/d6/I18nTerm.php
@@ -27,7 +27,7 @@
       ->orderBy('td.tid');
 
     if (isset($this->configuration['bundle'])) {
-      $query->condition('td.vid', (array) $this->configuration['bundle'], 'IN');
+      $query->condition('td.vid', [$this->configuration['bundle']], 'IN');
     }
     return $query;
   }
diff -u b/core/modules/taxonomy/tests/src/Kernel/Migrate/d6/MigrateI18nTaxonomyTermTest.php b/core/modules/taxonomy/tests/src/Kernel/Migrate/d6/MigrateI18nTaxonomyTermTest.php
--- b/core/modules/taxonomy/tests/src/Kernel/Migrate/d6/MigrateI18nTaxonomyTermTest.php
+++ b/core/modules/taxonomy/tests/src/Kernel/Migrate/d6/MigrateI18nTaxonomyTermTest.php
@@ -86,19 +86,44 @@
     $this->assertEquals($expected_description, $entity->getDescription());
     $this->assertEquals($expected_format, $entity->getFormat());
     $this->assertEquals($expected_weight, $entity->getWeight());
+    $this->assertHierarchy($expected_vid, $id, $expected_parents);
+  }
+
+  /**
+   * Assert that a term is present in the tree storage, with the right parents.
+   *
+   * @param string $vid
+   *   Vocabulary ID.
+   * @param int $tid
+   *   ID of the term to check.
+   * @param array $parent_ids
+   *   The expected parent term IDs.
+   */
+  protected function assertHierarchy($vid, $tid, array $parent_ids) {
+    if (!isset($this->treeData[$vid])) {
+      $tree = \Drupal::entityTypeManager()->getStorage('taxonomy_term')->loadTree($vid);
+      $this->treeData[$vid] = [];
+      foreach ($tree as $item) {
+        $this->treeData[$vid][$item->tid] = $item;
+      }
+    }
+
+    $this->assertArrayHasKey($tid, $this->treeData[$vid], "Term $tid exists in taxonomy tree");
+    $term = $this->treeData[$vid][$tid];
+    $this->assertEquals($parent_ids, array_filter($term->parents), "Term $tid has correct parents in taxonomy tree");
   }
 
   /**
    * Tests the Drupal 6 i18n taxonomy term to Drupal 8 migration.
    */
   public function testI18nTaxonomyTerms() {
-    $this->assertEntity(1, 'zu', 'zu - term 1 of vocabulary 1', 'vocabulary_1_i_0_', 'zu - description of term 1 of vocabulary 1', NULL, 0);
-    $this->assertEntity(2, 'fr', 'fr - term 2 of vocabulary 2', 'vocabulary_2_i_1_', 'fr - description of term 2 of vocabulary 2', NULL, 3);
-    $this->assertEntity(3, 'fr', 'fr - term 3 of vocabulary 2', 'vocabulary_2_i_1_', 'fr - description of term 3 of vocabulary 2', NULL, 4);
-    $this->assertEntity(4, 'en', 'term 4 of vocabulary 3', 'vocabulary_3_i_2_', 'description of term 4 of vocabulary 3', NULL, 6);
-    $this->assertEntity(5, 'en', 'term 5 of vocabulary 3', 'vocabulary_3_i_2_', 'description of term 5 of vocabulary 3', NULL, 7);
-    $this->assertEntity(6, 'en', 'term 6 of vocabulary 3', 'vocabulary_3_i_2_', 'description of term 6 of vocabulary 3', NULL, 8);
-    $this->assertEntity(7, 'fr', 'fr - term 2 of vocabulary 1', 'vocabulary_1_i_0_', 'fr - desc of term 2 vocab 1', NULL, 0);
+    $this->assertEntity(1, 'zu', 'zu - term 1 of vocabulary 1', 'vocabulary_1_i_0_', 'zu - description of term 1 of vocabulary 1', NULL, 0, []);
+    $this->assertEntity(2, 'fr', 'fr - term 2 of vocabulary 2', 'vocabulary_2_i_1_', 'fr - description of term 2 of vocabulary 2', NULL, 3, []);
+    $this->assertEntity(3, 'fr', 'fr - term 3 of vocabulary 2', 'vocabulary_2_i_1_', 'fr - description of term 3 of vocabulary 2', NULL, 4, ['2']);
+    $this->assertEntity(4, 'en', 'term 4 of vocabulary 3', 'vocabulary_3_i_2_', 'description of term 4 of vocabulary 3', NULL, 6, []);
+    $this->assertEntity(5, 'en', 'term 5 of vocabulary 3', 'vocabulary_3_i_2_', 'description of term 5 of vocabulary 3', NULL, 7, ['4']);
+    $this->assertEntity(6, 'en', 'term 6 of vocabulary 3', 'vocabulary_3_i_2_', 'description of term 6 of vocabulary 3', NULL, 8, ['4', '5']);
+    $this->assertEntity(7, 'fr', 'fr - term 2 of vocabulary 1', 'vocabulary_1_i_0_', 'fr - desc of term 2 vocab 1', NULL, 0, []);
   }
 
 }