Juve extended their run to 32 successive home league wins and left second-placed AS Roma needing to win away at Bologna on Sunday just to keep the gap down to six points.
Higuain opened the scoring in the 23rd minute after fellow Argentine Paulo Dybala burst down the right and pulled the ball back into the area.
Dybala was in inspired form and nearly added the second after a one-two with Sami Khedira but shot wide. He then set up another chance for Higuain who missed the target from 12 metres.
Dybala was also involved in the second goal six minutes from time when he found Stephan Lichtsteiner on the right and the Swiss full back's cross was turned in by Higuain for his 21st league goal of the season.
Juve, who host Barcelona in the first leg of their Champions League quarter-final on Tuesday, now have 77 points from 31 games with Roma on 68.
Read the full article on eurosport.co.uk: Higuain brace gives Juve 32nd straight home win