Brazilian winger Nene netted from close range for PSG following good work from Jeremy Menez on 42 minutes and completed the scoring with his second on 90 thanks to an angled drive off the post.
Although the ambitious hosts had most chances at the Parc des Princes, promoted Dijon mustered their own opportunities and were not overawed.
"We showed we are capable of battling, that the group doesn't give up against opponents that were motivated and against whom we were viewed as big favourites," PSG coach Antoine Kombouare told reporters after the capital club won for a fifth straight game.
"Today we have done well but there is a long way to go."
PSG, who continue to be linked in the media with a move for David Beckham, lead Montpellier by three points after 11 games following the south coast side's 3-1 win at Caen in Saturday's main programme of fixtures.
Lyon's Jimmy Briand opened the scoring for the visitors midway through the first half after being wonderfully set up by Yoann Gourcuff.
In Sunday's other match, Stade Rennes climbed to fourth after Julien Feret's goal 16 minutes from time set up a 1-0 win at Auxerre.
