Defeat for Laurent Blanc's men would have seen them fall seven points behind leaders Lyon, who won 2-0 at Metz earlier in the day, but Zlatan Ibrahimovic found the net from the penalty spot to seal maximum points.
A dull first half saw chances at an absolute premium, but the game opened up after the interval to provide hope that one team might find a winner.
However, it took a handball on the line from Jeremy Clement to provide PSG with a chance to break the deadlock, with Ibrahimovic subsequently making no mistake from 12 yards.
However, PSG held on for a repeat of the 1-0 win they picked up at Stade Geoffroy-Guichard in the Coupe de la Ligue earlier this month, moving them level on points with second-placed Marseille, who lost to Nice on Friday.
Lyon had put pressure on PSG to pick up a result with their earlier victory over 10-man Metz.
Struggling Metz had Guido Milan sent off for a challenge on Rachid Ghezzal as the game approached the half-hour mark, before Alexandre Lacazette found the net from the resulting spot-kick.
Lacazette was subsequently forced off with a thigh injury and is now a doubt for Lyon's forthcoming clashes with Monaco and PSG, but Corentin Tolisso popped up seven minutes from time to make sure of the win.
Caen had not picked up a win in 11 matches in all competitions prior to a 4-1 victory over Reims last weekend, but remarkably won by the same scoreline at Rennes on Sunday.
Evian leapt out of the bottom three with a 1-0 home win over fellow strugglers Toulouse, who saw Pavle Ninkov sent off and drop below their opponents to 17th.
