Pablo Sarabia and Moise Kean also scored in the first half while Leandro Paredes netted the fourth from a free-kick as PSG made short work of a trip to Alsace that fell in between the two legs of their Champions League quarter-final tie against Bayern Munich.
Youngster Moise Sahi pulled a goal back for Strasbourg but the defending champions bounced back from losing at home to Lille last weekend and closed the gap on the leaders after they triumphed 2-0 at Metz on Friday. Mbappe had netted twice in PSG's stunning 3-2 win away to Bayern on Wednesday which gave them the upper hand before the return leg in Paris this coming Tuesday.
Pochettino made seven changes to his team from the match in Germany, with Neymar one of the players to drop out as he began a two-game domestic ban following his red card against Lille.