Mbappe, who won the best young player award at the World Cup in Russian Federation after becoming the first teenager to score in a final since Pele in 1958, delivered his most efficient display since joining PSG against Lyon.
Teammate Neymar, who added an assist to his penalty strike, lauded Mbappe after the first quadruple of his career.
Neymar Jr. took the penalty and scored the goal, his 8th of the season.
The France World Cup victor assisted PSG to set a new French top-flight record of nine straight wins to start a season, having equalled the mark with their 3-0 victory at Nice, two weeks ago.
And on such form, it surely won't be long until he is considered for the prestigious best player in the world accolade.
He completed his hat-trick in the 69th minute after Neymar sent him clear of the defence and he ran on to finish emphatically.
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Neymar has described Kylian Mbappe as a "phenomenon" after the Paris Saint-Germain teenager scored four goals in 13 minutes.
PSG was reduced to 10 men when defender Presnel Kimpembe was sent off with a straight red midway through the first half, but Lyon was also left with 10 men when Lucas Tousart picked up a second yellow in first-half stoppage time.
The France global scored four of the five goals in a wild 14-minute second half spell after Neymar had opened the scoring with a first half penalty and both sides had been reduced to 10 men before half-time.
Former Barcelona forward Neymar arrived in Paris as PSG's star man but he has company at Parc des Princes, where Mbappe continues to shine. He is not among the favorites for the Ballon d'Or. Mbappe, 19, simply is the real deal.
The only stain on his record so far this year is a red card - the second of his PSG career - he received during injury time on September 1 in a 4-2 win at Nimes, which resulted in a three-game ban.
Given Neymar's power at the club - it's even rumoured he has a large say in which players are signed - it's easy to see why there is already talk that his own exploits are being overshadowed.