Romain Alessandrini and Julien Feret scored two superb first-half goals for Rennes, who had goalkeeper Benoit Costil sent off in the 25th minute and midfielder Jean Makoun dismissed six minutes after the break.
Nene had made it 1-1 for PSG but parity did not last long as they struck the woodwork three times to lose for the second time in two weeks after Saint-Etienne had also clinched three points in the capital.
"People will remember it for years because we put on a huge performance tonight," Rennes defender Jean-Armel Kana-Biyik told French channel Canal+.
"Beating PSG here is a remarkable achievement but doing it with nine men is just incredible."
PSG wasted numerous chances as they lacked the sharpness to really trouble Rennes reserve goalkeeper Cheick Tidiane N'Diaye, who produced a great display in his first league game since April 2009.
"We had a lot of chances but we were just not efficient," Nene said.
PSG's bad luck continued when the in-form Menez had to be replaced after picking up a thigh problem, while N'Diaye made saves from Blaise Matuidi's volley and Nene's curling effort on the stroke of half-time.
With Makoun's dismissal for a second yellow card six minutes into the second half, PSG poured forward to try to avoid a humiliating defeat.
Substitute Guillaume Hoarau and Pastore went close in the 60th minute but the towering striker was denied by the crossbar and then the playmaker's powerful half-volley hit the post.
At Evian, Max-Alain Gradel's double was not enough to secure his Saint-Etienne side victory.
The Ivorian forward headed home from Pierre-Emerick Aubameyang's neat cross in the ninth minute and then scored into an e
