Blades striker Sharp, a summer signing from Scunthorpe for whom he scored 32 times last season, got his first goal for his hometown club in midweek against Coventry and he did not have to wait that long for his second.
He broke the deadlock in the 52nd minute and Kevin Blackwell's side seized control of a hard-fought encounter four minutes later when Matt Kilgallon headed home David Carney's corner as the Canaries crashed to a third straight defeat. .
Former West Brom and Leeds striker Hulse, making his first start since February 9, hit the post with a 25-yard shot nine minutes before the break, but was later replaced by Jonathan Stead.
The Blades started on the front foot, with Gary Speed seeing his early shot blocked and Kilgallon and Sharp also firing in on goal.
Hulse's header from David Cotterill's cross was well-held by Norwich goalkeeper David Marshall, while the visitors had to wait until the 18th minute before their first shot, Gibbs' 20-yard effort flashing wide of the target.
United almost broke the deadlock in the 36th minute when Hulse collected the ball 25 yards out and unleashed a shot with rebounded back off the post with Marshall well beaten.
Sharp pounced in the box to convert his second league goal for United, low into the bottom corner from six yards in the 52nd minute.
Australian winger Carney swung over a corner two minutes later and Kilgallon rose at the far post to head home his first goal since December and only his second of the season.
Long-range shot just wide but only a smart save from Marshall denied Cotterill adding a third for the home side from 25 yards in the 85th minute.
The Blades got their 3rd win in a row and are now unbeaten in 4 games.