Neil Lennon admits he has to improve his conduct as he gets ready for another meeting with the Scottish Football Association's judicial panel on Thursday.
The Celtic boss will appear at Hampden accused of breaching three SFA rules relating to Hearts' 2-1 William Hill Scottish Cup semi-final victory, which came courtesy of Craig Beattie's controversial late penalty. Lennon ran on to the pitch to confront referee Euan Norris over the penalty award.
Lennon "deeply" regrets confronting Norris and accepts that he was out of order. The Celtic boss said: "It was an instinctive reaction action born out of frustration more than anything else. I know I have to conduct myself better than that."
The penalty Lennon took issue with occured when a Marius Zaliukas shot hit the arm of Joe Ledley and then brushed against Victor Wanyama. Celtic were denied a penalty later in the match when the ball struck Hearts defender Andy Webster.
The Celtic boss has just served a two-match touchline ban for criticising referee Willie Collum following the Scottish Communities League Cup final defeat by Kilmarnock at Hampden in March.
On the Hearts game, Lennon added: "I will be sending correspondence to the referee as an apology as well. It's one actionable thing that I've done that I shouldn't have done. I will go to the tribunal and hopefully get a fair hearing as I did the last time and take what's coming."
The two other charges Lennon faces relate to comments made on Twitter.
The Hoops boss tweeted soon after the game: "Referee told players he thought Wanyama handled...feel so sorry for players and fans..I think it's personal myself."
He then re-tweeted a comment from a Celtic supporter which suggested the club "pack our bags and get out of this league that is run by crooked Â£SFA officials".
Lennon said: "I don't want to talk about that (tweeting) now, I will discuss my case on Thursday. But you can't take away the human element from managers, we are human beings at the end of the day. There are times we get angry and aggrieved and make mistakes in that aspect of the game but I think I get a rough ride."