PSG fans chanted "Cavani, Cavani" as Neymar took the penalty, which seemed to upset the Brazil worldwide.
Neymar also provided a pair of assists in a glittering individual performance, but he was involved in another on-pitch disagreement with strike partner Edinson Cavani.
The Uruguayan striker is one goal away from breaking Zlatan Ibrahimovic's goal scoring record for the French giants, they are now both tied on 156 goals in all competitions.
The Brazilian scored four of the goals, including a late penalty to round off the scoring, alongside Angel Di Maria, who netted two, Edison Cavani and Kylian Mbappe.
Argentine Di Maria, who grabbed the victor in Sunday's 1-0 victory at Nantes, needed just four minutes in Paris to put the home team ahead with a stunning left-footed strike into the top corner.
Things did not improve for the visitors after the break as PSG went on to score four more goals. In September, the former Napoli striker refused to let Neymar take a spot-kick against Lyon, only to see his own effort saved.More news: India record 100-run win over Australia in opener
The Brazilian won the free-kick himself and gave Reynet no chance with a 20-yard shot that curled over the wall and into the unguarded portion of the Dijon goal.
"We're happy with it".
Neymar passed in his second of the night after 57 minutes, though, with defender Cedric Yambere only able to block a cross directly to the world's most expensive player.
"It was a very, very good PSG against a Dijon side that unfortunately didn't put up much resistance".
Nabil Fekir scored his 15th goal of the campaign as Lyon defeated Guingamp 2-0, with 19-year-old midfielder Houssem Aouar also on target at the Stade du Roudourou.
"No, I do not think he was angry when he left", Silva told Canal+. "He's at an worldwide level and doing it consistently, which is a good sign for us", Genesio said.