Antonio Conte's men are all but ensured of a third consecutive Scudetto and restored their 14-point lead at the summit by seeing off a spirited effort from Parma, who had previously gone 17 league games without defeat.
Tevez proved to be the key for Juventus, the 30-year-old taking his tally for the season to 18 with a brace that re-establishes his position as the top scorer in Serie A.
The Argentine striker gave Juve the lead with a fine individual effort midway through the first half, and then doubled the advantage in the 32nd minute with a typical poacher's goal.
Parma fought back and cut the deficit as Cristian Molinaro found the net against his former club to give the visitors' hope, which was effectively ended almost immediately after when ex-Juve striker Amauri was sent off for elbowing Giorgio Chiellini.
And it was Roberto Donadoni's side who crafted the game's first real chance after 17 minutes when Cristian Molinaro connected with Alessandro Lucarelli's right-wing cross, only to be denied by a fine reaction save from Gianluigi Buffon.
Tevez showcased quick reactions to fire home a rebound after Antonio Mirante had saved from Arturo Vidal's close-range effort.
Parma's hopes of a fightback were dealt a huge blow three minutes as Amauri saw red on his return to Turin for his ill-advised foul on Chiellini.
