They joined Lyon in fifth place in the rankings of the clubs with the most French titles - three behind record holders St Etienne.
The lead was doubled three minutes later when Cavani made up for his earlier miss by turning home Yuri Berchiche's cross. Monaco had no answer to PSG's brilliance and Di Maria added a third after just 20 minutes, the winger racing on to Cavani's pass and outrageously scooping the ball over the helpless Danijel Subasic.
Monaco, who were humbled 3-0 by PSG in the League Cup final, got off to a good start but the home side had the first clear chance in the 10th minute when Cavani volleyed just wide from Dani Alves's cross. Doubts have been cast over Lo Celso's ability to marshal the midfield from deep this season, but he was assured here and completed his brace with a near-post header inside the half hour (27').
Monaco pulled one back, Lopes latching on to Almamy Toure's cross from the right to score for the eighth consecutive time in Ligue 1 - a first in the French top flight since Shabani Nonda in 2003. Adrien Rabiot - the darling of the PSG faithful as an academy graduate in a sea of expensive stars - was met with rapturous applause when he came off for Lassana Diarra (65'), but the change in personnel affected little change on the match.
Julian Draxler rounded off the scoring for PSG in the 86th minute, with German attacker turning home Thomas Munier's cross.
That PSG so comprehensively outplayed their nearest challengers makes it hard - perhaps even unfair - to pick out a single player for praise, but Cavani has exuded class from start to finish this season.
In quotes reported on the club's Twitter feed, Emery said: "Neymar is close to a return after the latest tests".
Leonardo Jardim's young team caused an upset in winning the title last term, but PSG responded with significant investment in the form of Neymar and Kylian Mbappe, and have been in charge for the majority of the campaign, ultimately regaining their crown in emphatic style with five games to spare.