Ian Lawson's first league goal of the season earned Bury their first win of the holiday programme and lifted the Shakers into third place.
Lawson's chances have been restricted this term and indeed the former Stockport and Huddersfield striker almost left the club on loan.
But Lawson turned down an opportunity of regular first team football and now has a great chance to be a regular in Bury's first team as Andy Preece's side look to consolidate their promotion place.
Lawson, who struck the winner against Barnsley in the LDV Vans Trophy in Novenber, struck 19 minutes from time to give the Shakers a desevered victory.
Slipping marker Andy Holt, he headed home a superb free-kick from Chris Billy.
With the deadlock broken, Bury went all out to increase their lead but Hull keeper Paul Musselwhite pulled off two fine saves to deny Lawson and teenage strike partner David Nugent.
Hull, who lost skipper Justin Whittle with a hamstring injury early in the second period, looked to be lacking in ideas.
They managed just two shots in the entire game and only one was on target when Ian Ashbee tested Glyn Garner in the 14th minute.
Said Preece: "Apart from a five-minute spell in the first half when we couldn't get hold of the ball and they had a few crosses, this was a great preformance from first whistle to the last.
"It was a fantastic ball in by Chris Billy and it had only taken him 36 attempts to get it right!" In contrast, Hull boss Peter Taylor saw little to lift his gloom.
"To be honest there are too many players out there who are better than what they are showing at the moment," he said.
"Maybe that's one of the reasons why we are 18th or 19th in the table. Players have got to put it in every week."