Lennon received a suspended one-match ban for breaching a previous touchline ban, the Scottish Football Association has announced.
The SFA decided the Hoops boss had a case to answer because he entered the 'playing zone' within 15 minutes of the match finishing at Motherwell on April 28 while serving a three-match touchline ban.
However, his punishment has been suspended until the end of next season, freeing him to carry out his managerial duties as usual at Hampden.
"Mr Lennon was found in breach, with a one-match suspension applied," the SFA said in a statement on its website.
"The tribunal suspended the sanction until the end of season 2013-14 and to take effect in the event that Mr Lennon is found in breach of rule 205 within that period."
Lennon tweeted: "Thrilled to be on the touchline for Sunday..Cup Final is always a special occasion."