The world's most expensive player sat out the game at the Stade Raymond Kopa with a minor thigh problem picked up in the midweek Champions League win over Anderlecht but he was not missed as PSG went provisionally seven points clear at the top of the table from Monaco.
Kylian Mbappe and Julian Draxler both scored early goals and Cavani netted his 100th in France's top flight on the half-hour mark.
The Uruguayan scored again on the hour mark before Mbappe grabbed his second of the day late on to take him to six goals in 12 appearances for the club.
A second successive five-goal victory for PSG means they remain unbeaten in all competitions this season, while Angers are still without a win at home.
As well as Neymar, PSG were without Marquinhos and Angel Di Maria, whose partners have both given birth in recent days. Coach Unai Emery therefore opted to give a first start since August to Javier Pastore.
PSG's opener arrived inside five minutes as Mbappe turned in a Dani Alves cross from the right, and it was 2-0 before quarter of an hour had been played.
Again Alves was the provider with a delightful through ball for Draxler, who beat Mathieu Michel with a clipped first-time finish.