The newly-promoted Ligue 1 club were handed the punishment by the Ligue de Football Professionnel (LFP) in June following the ugly scenes that marred the end of their final home game of the Ligue 2 season against Le Mans on May 17, which confirmed their return to the top flight.
Fans invaded the pitch at the end of the 2-1 win, with the match referee attacked in the midst of the celebrations.
The governing body said in a statement on their website: "The upper board of appeal of the French Football Federation held on August 7 has decided to cancel the removal of two points (plus one suspended) imposed by the Disciplinary Committee of the League (LFP) following the appeal by Club Monaco."
However, Claudio Ranieri's men will still have to play one home game behind close doors, after the FFF upheld that sanction.
