Ibrahimovic produced yet another masterful display to guide Laurent Blanc's men to a routine victory that further cements their grip on top spot in Ligue 1.
The striker headed the capital club into the lead after six minutes with a goal that brought up PSG's century and marked his 38th of the campaign.
And the former Barcelona and Milan man played a pivotal role in his side's second goal, on 19 minutes, setting up Ezequiel Lavezzi with an acrobatic assist to all but ensure victory for the defending champions.
The visitors left captain Thiago Silva on the bench ahead of Wednesday's UEFA Champions League clash with Bayer Leverkusen, while Edinson Cavani was omitted from the squad after returning to Uruguay to deal with a personal matter.
PSG almost found the net inside the first 15 seconds, Bastia defender Francois Modesto atoning for an early defensive mistake by clearing Lucas Moura's effort off the line after Lavezzi had pulled the ball back.
Ibrahimovic was heavily involved again as Blanc's men moved into a commanding position, playing a magnificent volleyed backheel throughball into the path of Lavezzi, who slotted under Bastia goalkeeper Jean-Louis Leca to double the lead.
Blanc's men looked to have added a third shortly after the interval when Alex headed in off the bar from Lucas' corner, only for the goal to be ruled out for Thiago Motta's push on Romaric.
