The 34-year-old Swede is already PSG's all-time leading scorer with 119 goals in all competitions, but his two goals took him to 87 in the French league.
Ibrahimovic surpassed record-holder Mustapha Dahleb who scored 85 goals.
Edinson Cavani opened the scoring against Nice in the 35th minute from Ibrahimovic's cross before the Sweden striker doubled the tally on the stroke of halftime from the penalty spot following the sending off of Niklas Hult.
Ibrahimovic made it 3-0 after the break with his 12th league goal of the season, which took him to the record. The striker’s contract with PSG runs out in June next year.