diff --git a/activerecord/lib/active_record/connection_adapters/sqlite3_adapter.rb b/activerecord/lib/active_record/connection_adapters/sqlite3_adapter.rb
index 65aba20052f9ec59c13d6a9ce00ca12349952d78..c72db15ce33c54305595f098a2725bf0925d3f45 100644
--- a/activerecord/lib/active_record/connection_adapters/sqlite3_adapter.rb
+++ b/activerecord/lib/active_record/connection_adapters/sqlite3_adapter.rb
@@ -404,22 +404,24 @@ def move_table(from, to, options = {}, &block)
 
         def copy_table(from, to, options = {})
           from_primary_key = primary_key(from)
-          from_primary_key_column = columns(from).select { |column| column.name == from_primary_key }.first
           options[:id] = false
           create_table(to, options) do |definition|
             @definition = definition
-            @definition.primary_key(from_primary_key, from_primary_key_column.type) if from_primary_key.present?
+            if from_primary_key.is_a?(Array)
+              @definition.primary_keys from_primary_key
+            end
             columns(from).each do |column|
               column_name = options[:rename] ?
                 (options[:rename][column.name] ||
                  options[:rename][column.name.to_sym] ||
                  column.name) : column.name
-              next if column_name == from_primary_key
 
               @definition.column(column_name, column.type,
                 limit: column.limit, default: column.default,
                 precision: column.precision, scale: column.scale,
-                null: column.null, collation: column.collation)
+                null: column.null, collation: column.collation,
+                primary_key: column_name == from_primary_key
+              )
             end
             yield @definition if block_given?
           end
diff --git a/activerecord/test/cases/adapters/sqlite3/sqlite3_adapter_test.rb b/activerecord/test/cases/adapters/sqlite3/sqlite3_adapter_test.rb
index 14f4997d5b4b87718517110fe87375d16fe81c5e..135771942253ed3445833801787d7a5d39ede9a7 100644
--- a/activerecord/test/cases/adapters/sqlite3/sqlite3_adapter_test.rb
+++ b/activerecord/test/cases/adapters/sqlite3/sqlite3_adapter_test.rb
@@ -361,21 +361,48 @@ def test_no_primary_key
       end
 
       class Barcode < ActiveRecord::Base
+        self.primary_key = "code"
       end
 
-      def test_existing_records_have_custom_primary_key
+      def test_copy_table_with_existing_records_have_custom_primary_key
         connection = Barcode.connection
         connection.create_table(:barcodes, primary_key: "code", id: :string, limit: 42, force: true) do |t|
           t.text :other_attr
         end
         code = "214fe0c2-dd47-46df-b53b-66090b3c1d40"
-        Barcode.create! code: code, other_attr: "xxx"
+        Barcode.create!(code: code, other_attr: "xxx")
 
         connection.change_table "barcodes" do |t|
           connection.remove_column("barcodes", "other_attr")
         end
 
         assert_equal code, Barcode.first.id
+      ensure
+        Barcode.reset_column_information
+      end
+
+      def test_copy_table_with_composite_primary_keys
+        connection = Barcode.connection
+        connection.create_table(:barcodes, primary_key: ["region", "code"], force: true) do |t|
+          t.string :region
+          t.string :code
+          t.text :other_attr
+        end
+        region = "US"
+        code = "214fe0c2-dd47-46df-b53b-66090b3c1d40"
+        Barcode.create!(region: region, code: code, other_attr: "xxx")
+
+        connection.change_table "barcodes" do |t|
+          connection.remove_column("barcodes", "other_attr")
+        end
+
+        assert_equal ["region", "code"], connection.primary_keys("barcodes")
+
+        barcode = Barcode.first
+        assert_equal region, barcode.region
+        assert_equal code, barcode.code
+      ensure
+        Barcode.reset_column_information
       end
 
       def test_supports_extensions