Defending champions PSG are six points clear of second-placed Lens - who also have an inferior goal difference - and require just one point from their last two games to guarantee the title.
Top scorer Mbappe netted twice in the opening eight minutes for the visitors.
Lassine Sinayoko responded for Auxerre, who remain in relegation trouble.
The victory means Christophe Galtier's PSG will clinch the title if they avoid defeat at Racing Strasbourg next Saturday.
Mbappe, 24, has scored 40 goals and contributed nine assists in 41 games this season - including 33 goal involvements in 32 Ligue 1 matches.The France international displayed great footwork as he twisted and turned in the box to create space for the opener, before bending in a sublime first-time strike two minutes later.
PSG, who have won eight of the past 10 Ligue 1 titles, equalled Marseille and Saint-Etienne's all-time record of 10 French titles last season.Kylian Mbappe's brilliance saved Paris Saint-Germain from another Ligue 1 embarrassment against struggling Auxerre.
The French striker bagged a brace inside 10 minutes, which ultimately proved to be enough of a buffer to cover up another underwhelming PSG performance, as they scraped a 2-1 win over 16th-placed Auxerre.
Mbappe was at his scintillating best early. He opened the scoring inside six minutes, sitting down an Auxerre defender before lashing a shot into the top corner. He made it two shortly after, curling one past the sprawling home goalkeeper from outside the box.The Parisians really should have been 3-0 up by half-time, but Hugo Ekitike got the ball tangled in his feet with the goal gaping.And his blunder was enough to let Auxerre back into the contest. The home side reduced the deficit in the 51st minute, with PSG's backline undone by a simple long ball, allowing Lassine Sinayoko to dart in behind and finish.
The home side had a smattering of opportunities to equalise, but crucial stops from Gianluigi Donnarumma saved the Parisians from another Ligue 1 embarrassment and left them on the brink of a second successive title.Paris Saint-Germain are now just one point away from defending their Ligue 1 title this season after a Kylian Mbappe-inspired 2-1 win at Auxerre.Auxerre did rally after the restart, as Lassine Sinayoko steered them back into the contest, and Gianluigi Donnarumma was forced to make two key late stops.
A draw at Strasbourg next weekend will see PSG over the line with Auxerre facing a battle to avoid relegation.