The victory for Lyon is their first away game against PSG in 13 years.
Former Djurgård player Tino Kadewere scored the only goal of the match in the 35th minute.
After carelessness in the defensive game from PSG, Kadewere was free and was able to put 1-0.
With this, PSG lost the league lead and is now first third, one point behind league leader Lille.
Lyon are second on the same points as Lille.
As if the loss was not bad enough for PSG, Neymar was forced to leave the pitch on a stretcher at the end of the match after an ugly tackle from behind by Thiago Mendes.
The brass star cried after the tackle which resulted in a red card for Mendes after a VAR review.