The Ligue 1 champion responded to its opening 3-2 loss to Liverpool with a commanding victory over the Serbian visitor at Parc des Princes on Thursday (AEST).

Neymar's brilliant treble, which saw him draw level with Kaka as the top-scoring Brazilian in the competition's history on 30 goals, was added to by Edinson Cavani, Angel Di Maria and Kylian Mbappe.

Marko Marin got a consolation for the visitors, but it counted for little as they suffered a comprehensive defeat to Thomas Tuchel's side.

Goalkeeper Milan Borjan thwarted Mbappe at his near post as PSG started strongly, but he could do nothing to stop Neymar's superbly flighted free-kick from nestling in the bottom-left corner 20 minutes in.

Mbappe turned provider for Neymar's second barely 90 seconds later, collecting the Brazilian's throughball before squaring a low pass that was prodded high into the net by PSG's number 10.

Red Star appeared resigned to their fate and any lingering hope of a comeback seemed to be extinguished after 37 minutes, when Cavani turned into space in the box and sent a deflected strike past Borjan.

Mbappe missed an excellent chance for a fourth but Di Maria made no mistake shortly before half-time, flicking home after escaping the whole of the Red Star defence to meet Thomas Meunier's cross.

Borjan made four good saves to deny Mbappe and Neymar early in the second half and keep the scoreline reasonably respectable, and Red Star at last managed to test Alphonse Areola through Marin and Milan Rodic.

Mbappe finally got on the scoresheet, tapping in from point-blank range after Juan Bernat's cross deflected into his path, before Neymar capped a spectacular display with a stunning second free-kick to seal his hat-trick after Marin had blasted home a sliver of consolation.

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Rodic was given a torrid time by the pace of Mbappe and the trickery of Neymar, and he allowed Meunier to cross for Di Maria's goal without anywhere near enough pressure on the ball.