Nantes went close to the equalizer but gifted PSG its second five minutes from time when goalkeeper Alban Lafont fouled Mauro Icardi and Neymar converted the resulting penalty.
Saint-Etienne stayed within touching distance of a Champions League berth with a 4-1 win over Nice.
The match was all but over at halftime. Denis Bouanga converted a penalty and, although Kasper Dolberg leveled, goals from Romain Hamouma and Wesley Fofana gave the home side a comprehensive lead.
Bouanga headed in his second in the 58th minute.
Saint-Etienne moved up to fifth, a point behind third-place Bordeaux and the final Champions League qualifying berth.
Montpellier slipped to sixth after being held to a 2-2 draw at struggling Dijon.
Dijon moved one point above Metz, which fell into the relegation zone after a 1-0 loss to Rennes.
Elsewhere, Monaco won 2-1 at bottom club Toulouse, while Amiens’ match against Reims was postponed because of bad weather.
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