SPL - Police confirm Lennon complaint
However, they indicated they would not be following it up as officers in attendance witnessed Lennon's gesture - which involved the Northern Irishman cupping his ears as he left the field - and did not take any action at the time.
A spokeswoman for the police said: "We can confirm we have received a complaint regarding Neil Lennon at the end of the Rangers-Celtic football match. Strathclyde Police officers were in attendance at the time and would have taken action at that time if they had deemed it appropriate."
Celtic chief executive Peter Lawwell said: "It is absolute nonsense.
"It is laughable that such a ludicrous complaint has been made given the abuse Neil received throughout the match.
"It tells you more about those making the complaint than it does about Neil."
When the gesture was mentioned after the game, Lennon said: "Don't ask me about that.
"It's called humour, all right?
"Don't distract away from my team's performance. Don't even write about it. You have the photographs, I'm sure, but it is just a bit of fun.
"I don't want to distract from my team's performance."