Hull's Ahmed Elmohamady put through his own goal after 31 minutes to give City the lead.
Sergio Aguero made it 2-0 shortly after halftime following a jinking run by Raheem Sterling -- his 10th goal in his last 10 appearances for City.
Fabian Delph hammered in City's third before Andrea Ranocchia pulled one back late on.
Fourth-placed City moved seven points ahead of fifth-placed Arsenal who have two games in hand while Hull remained two points above the bottom three.
(Reporting by Martyn Herman; Editing by Ian Chadband)
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