Former Lille striker Payet scored twice after Andre-Pierre Gignac had put Marseille in front after two minutes.
The points were all but secured after 16 minutes with Marseille 3-0 to the good although Mustapha Yatabare gained a consolation for the hosts late on.
St Etienne began their campaign with a 1-0 win at AC Ajaccio thanks to Brandao's first-half goal.
Olympique Lyon were the biggest winners of the opening weekend, thrashing Nice 4-0 on Saturday, while champions Paris St Germain were held to a 1-1 draw at Montpellier on Friday and Radamel Falcao scored on his Ligue 1 debut when Monaco beat Girondins de Bordeaux away on Saturday.
(Reporting by Julien Pretot; editing by martyn Herman)
