Hull beat Liverpool 3-1 in the Premier League on Sunday for its first ever victory against the Merseyside club.
Hull went ahead after Jake Livermore's shot from outside the area took a deflection and looped over Liverpool goalkeeper Simon Mignolet in the 20th minute at the KC Stadium.
Steven Gerrard equalised seven minutes later with a well-placed free kick through a sudden hole in the wall created by teammate Martin Skrtel.
David Meyler put Hull ahead again in the 72nd with a left-footed shot and Skrtel finished a miserable afternoon for Liverpool with a spectacular own-goal header in the 87th.
Liverpool missed England forward Daniel Sturridge who is likely to be out for at least six weeks with an ankle injury.
Liverpool trails league leaders Arsenal by seven points.