Michael Dawson headed a 37th-minute winner to pull Hull away from the relegation scrap and damage Liverpool's UEFA Champions League bid.
Hull City took an important step towards Premier League survival with a 1-0 win over Liverpool that left its opponents' chances of UEFA Champions League qualification in tatters.
As in its goalless draw at West Brom on Saturday, Liverpool's pleasing work on the ball was undermined by a lack of end product as Mario Balotelli and Raheem Sterling turned in abject performances in attack.
It meant Hull's breakthrough late in the first half, when Michael Dawson was afforded ample room to head home, proved decisive as Steve Bruce's men backed up Saturday's 2-0 win at Crystal Palace with another vital three-point haul.