The 46-year-old ran onto the pitch and carried out an "aeroplane" celebration in the aftermath of Jamie Maclaren's injury-time strike on the final day of the Scottish Premiership season.
Lennon was handed a one-match suspension for the incident after a disciplinary hearing at Hampden Park on Thursday which also triggered a suspended two-game ban from earlier last term.
The ban takes effect immediately, which means that the former Celtic boss is set to miss the first three matches of the Scottish Premiership season.
Lennon has the right to appeal the suspension but must do so within five working days.
Hibs begin their season with a Europa League first qualifying round tie against NSI Runavik on July 12 and 19.