The Swede was punished at a league disciplinary committee meeting after an incident with Romain Hamouma during a 1-0 win at Saint-Etienne last month that saw him booked at the time.
Ibrahimovic will now miss the Ligue 1 trip to Monaco on 1 March and the home French Cup quarter-final against the same side the following Wednesday.
He is the capital club's joint leading scorer on 17 goals in all competitions this season alongside Edinson Cavani.
