diff --git a/CHANGELOG.md b/CHANGELOG.md
index 44a9d4dcb73..357dcc8674f 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,10 @@
 
 ## master (unreleased)
 
+### Bug fixes
+
+* [#8774](https://github.com/rubocop-hq/rubocop/issues/8774): Fix a false positive for `Layout/ArrayAlignment` with parallel assignment. ([@dvandersluis][])
+
 ## 0.91.1 (2020-09-23)
 
 ### Bug fixes
diff --git a/lib/rubocop/cop/layout/array_alignment.rb b/lib/rubocop/cop/layout/array_alignment.rb
index ea57a425ed6..4c76d3368df 100644
--- a/lib/rubocop/cop/layout/array_alignment.rb
+++ b/lib/rubocop/cop/layout/array_alignment.rb
@@ -44,6 +44,7 @@ class ArrayAlignment < Cop
 
         def on_array(node)
           return if node.children.size < 2
+          return if node.parent&.masgn_type?
 
           check_alignment(node.children, base_column(node, node.children))
         end
diff --git a/spec/rubocop/cop/layout/array_alignment_spec.rb b/spec/rubocop/cop/layout/array_alignment_spec.rb
index e44d68f89a6..2504bba10e8 100644
--- a/spec/rubocop/cop/layout/array_alignment_spec.rb
+++ b/spec/rubocop/cop/layout/array_alignment_spec.rb
@@ -169,6 +169,13 @@
         ]
       RUBY
     end
+
+    it 'does not register an offense or try to correct parallel assignment' do
+      expect_no_offenses(<<~RUBY)
+        thing, foo =
+          1, 2
+      RUBY
+    end
   end
 
   context 'when aligned with fixed indentation' do
@@ -328,5 +335,12 @@
         ]
       RUBY
     end
+
+    it 'does not register an offense or try to correct parallel assignment' do
+      expect_no_offenses(<<~RUBY)
+        thing, foo =
+          1, 2
+      RUBY
+    end
   end
 end