Holders Arsenal must travel to Hull for an FA Cup fifth-round replay after failing to turn dominance into victory against the Championship leaders.
The Gunners had two penalty claims denied and had chances to win the game through Theo Walcott and Danny Welbeck.
Hull keeper Eldin Jakupovic made a string of saves, most notably touching Joel Campbell’s free-kick on to a post.
The Tigers created little, but defended admirably to frustrate Arsene Wenger in his 100th FA Cup game as Arsenal boss.
The two sides made a total of 19 changes between them from their previous games – nine for Arsenal and 10 for Hull.
But Steve Bruce’s Tigers not only ended a 14-game winning run in the FA Cup for the Gunners, they also prevented a repeat of their defeats by the Londoners in the 2014 final and last season’s third round.