"The LFP firmly condemns the incidents that occurred last night the Pierre Mauroy stadium after the Lille v Montpellier game", the governing body said in a statement.
The former Ligue 1 champions have suffered a bad deep in form this season and are now placed second from bottom on the log with just 28points and fans showed their frustrations by trying to attack the home players who were protected by security and stewards off the pitch.
TV footage shows supporters storming the Stade Pierre-Mauroy pitch after another disappointing result which leaves the 2011 Ligue One champions in 19th place following a dire run of form. Some of the players were also directly physically attacked before security officers could intervene and escort the players to safety.
With stewards outnumbered and powerless, around 200 supporters made their way onto the pitch, chanting "You're dirtying our jersey, you're dirtying our jersey", at the players.
Enyeama will be in contract with the club until the end of the 2018-2019 season.
Stewards initially struggled to stop fans from entering the tunnel to the dressing rooms.
"If we go down, we'll take you down", some of them sang, as Lopez shook his head disapprovingly from the stands.
Lille manager Christophe Galtier said the actions were unacceptable and claimed his players had been punched by fans. We will count the points at the end of the season.
"They are fans who lost control, but they are also fans who are unhappy and sad", Galtier is quoted as saying by ESPN. "It's only one game".