Still though it was Wigan pressing the initiative before City were able to make the breakthrough thanks to poor goalkeeping from Vladimir Stojkovic.
Patrick Vieira clipped the ball over the top and the Serb goalkeeper rushed out but failed to make any challenge, allowing Tevez to roll the ball into the net.
City doubled the lead soon after when Adam Johnson fired a cross to the far post that was flicked on by Vincent Kompany and Tevez found the corner of the net.
Tevez then completed his hat-trick when he broke clear, beat the challenge of Maynor Figueroa and found the corner of the net with a precise shot.
City are now two points behind fourth-placed Tottenham, who still have to travel to Eastlands.