Two goals from Luis Suarez and one from Lionel Messi put Barca 3-0 ahead at half-time with Iniesta, tipped to move to China at end of the season, on target after a smart shimmy in the 54th minute.
Philippe Coutinho hit the fifth from the penalty spot as Barca cruised to a 30th Copa del Rey triumph.
The last team to win the Cup four seasons running was Athletic Bilbao in the early 1930s.
Download our app and read this and other great stories on the move. Available for Android and iOS.