His comments follow a number of incidents that took place during their Boxing Day clash against Dundee at Dens Park.
Five Hoops' fans look set to face the wrath of the Scottish courts and Lennon said: "The fans at this club have a fantastic reputation, don't tarnish that reputation.
"If you want to behave like that, just don't come to the matches."
A spokesman for the Tayside Police added: "There was a level of disturbance at the match, primarily within the Celtic section of the stadium.
"Five people are to be reported to the procurator fiscal for alleged football-related offences.
"Officers responded to the incidents quickly and took appropriate action."