Les Rouge et Blanc were hit with a deduction and ordered to play one game behind closed doors because of crowd trouble at the Stade Louis II.
The deduction relates to crowd trouble after the 2-1 victory over Le Mans in May that clinched the Principality's return to Ligue 1, with the referee having been struck by a supporter during the post-game pitch invasion.
The LFP hit Monaco with a three-point deduction, but suspended a point, and also ordered the club to play a game behind closed doors. Les Rouge et Blanc intend to contest the ruling, though, issuing the following statement on their official website on Friday.
"AS Monaco FC wishes to express its surprise following the decision on Thursday of the disciplinary committee of the LFP to impose a penalty of one game to be played behind closed doors, and three penalty points, of which one is suspended.
"The Club believes this is a harsh punishment given the significant efforts the Club has made over recent years to improve the management of home games and to ensure that due respect is given to all principal participants, including players and officials.
"Furthermore, AS Monaco FC has always condemned in the strongest possible terms, any violent conduct against referees. Stade Louis II has always been synonymous with an atmosphere of friendliness and respect for both opponents and referees. The club will await the official notification for considering to appeal."
Monaco is returning in Ligue 1 following a two-year absence and the Dmitry Rybolovlev-owned club has already signed several marquee players for next season, chief among them Radamel Falcao.