The Canaries, who were knocked out of the Capital One Cup by Aston Villa here in midweek, made it five successive home league victories to continue their remarkable turnaround with goals in each half from Anthony Pilkington and Wes Hoolahan.
Wigan, meanwhile, have now lost five of the last seven and remain in the bottom three despite equalising at the start of the second half through substitute Shaun Maloney.
The Canaries were ahead after 15 minutes. Hoolahan, who has just signed a new contract extension until 2015, carried the ball to the edge of the Wigan penalty area and then won a 50/50 with Emmerson Boyce to stab a pass through to Pilkington.
The winger took the ball in his stride before smashing a left-foot drive past Latics keeper Ali Al Habsi and into the roof of the net.
Wigan were level after 51 minutes. Arouna Kone carried the ball into the left side of the Norwich penalty area before he pulled a pass back to the edge of the box where Maloney crashed his shot into the net.
Norwich put some pressure on Wigan again as the hour mark passed but Grant Holt could only send a scissors-kick horribly wide from Robert Snodgrass' floated ball to the far post.
Referee Lee Probert had been taking plenty of flak from the home fans but played a good advantage after Snodgrass had been bodychecked and Norwich broke quickly down the left through Pilkington.
The former Huddersfield winger drove on to the goalline, where he cut back inside Boyce before delivering a teasing cross, which Hoolahan headed past Al Habsi after 64 minutes.
