The hosts broke the deadlock after just 10 minutes when Edinson Cavani won a header from a corner that Remy Riou could only palm straight to Thiago Silva, who had a simple tap-in for his third goal of the season.
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Zlatan Ibrahimovic stepped up to the spot kick and made no mistake with his finish to put his side in complete control of the match.
PSG had another chance right on the stroke of half time when Ezequiel Lavezzi found Cavani inside the box, but he could not steer his effort towards goal from a good position.
Lavezzi had a sight of goal himself shortly afterwards when Ibrahimovic left the ball for him at the back post, but his volley slammed into the side-netting as the hosts went into the break with just a two-goal advantage.