The fine comes after Morgan confronted referee Mike Jones on the touchline at the final whistle of Wolves' 2-1 Sky Bet Championship defeat to Bournemouth this month.
Morgan apologised for his actions the following day, having been frustrated with the dismissals of Rajiv van La Parra and Matt Doherty
An FA statement on Tuesday read: "The FA can confirm that Wolverhampton Wanderers chairman Steve Morgan has been fined £2,500 and warned about his future conduct following an incident at full-time against AFC Bournemouth on Saturday 6 December
"Morgan admitted to a breach of FA Rule E3 at the end of the Football League Championship fixture at Molineux."
Wolves had Van La Parra's red card overturned but failed in an appeal against Doherty's sending off
Morgan said after the incident: "I would like to apologise personally to Mike Jones
"I was extremely angry and frustrated at many of his refereeing decisions, and I still am.
"However, I should not have gone pitch side to vent my frustrations."
Source : PA
Source: PA