Police report Celtic boss for Dundee Utd celebrations
Lennon clashed with ref Dougie McDonald and the fourth official after the whistler's decision to reverse a penalty award.
But the Hoops boss also sprinted down the Tannadice track when Gary Hooper netted the last-gasp winner to celebrate.
This has been viewed as a potentially inflammatory gesture which could have incited crowd trouble at a fixture which has grown increasingly stormy in recent seasons.
In response to Lennon's celebrations, Celtic fans rushed forward towards the track, causing security concerns.
The match commander has drafted a letter to send to both the SFA and the SPL outlining their displeasure at Lennon's behaviour and will now leave it up to SFA to act.