Salomon Kalou scored at either end in a game that went to the visitors.
Former Chelsea forward Kalou scored in the first-half to give Lille the lead in under 10 minutes.
Saber Khelifa levelled the match for Evian before the break before Kalou scored an own goal to gift three points to the away side.
The defeat signals the end of a five match winning streak for Lille as they marched on the Champion’s League spots.
Evian meanwhile claw further away from relegation.
Watch the highlights below.