Lille stay third, in the Champions League qualifying round berth, on 50 points from 28 games. They are seven adrift of second-placed Montpellier with Paris St Germain top of the table on 59 points.
In full view of Manchester City manager Roberto Mancini, who was sat in the crowd, Hazard delivered a brilliant performance and gave the hosts the lead on 18 minutes when he netted from close range after a fine collective move.
Lille doubled their lead in the 57th minute when Benjamin Angoua turned the ball into his own net after a break which Belgium winger Hazard had started.
Aurelien Chedjou and Tulio De Melo then both headed home from Hazard corners to complete the easy victory.
Hazard was a constant threat throughout and could have set up at least two other goals in the first half but goalkeeper Nicolas Penneteau denied Florent Balmont and Mathieu Debuchy shot wide.
"The coach told me before the match," Hazard told French television Canal+ when asked about Mancini's presence.
"I try to be always the same on the pitch, to play my game and show what I am able to do," added the much-hyped Belgian, who was watched by Manchester United boss Alex Ferguson last weekend.