Palace winger Wilfried Zaha has also accepted a similar charge after he was caught on camera making a gesture towards the travelling supporters at Selhurst Park.
Zaha has requested a personal hearing with the FA's disciplinary panel to argue his case.
Holloway was charged over comments he made to the match officials immediately after the final whistle.
The Eagles boss entered the pitch to confront referee Dean Whitehouse over his decision not to send off Leeds players Luke Varney and Stephen Warnock for perceived red card offences.
Holloway, who also exchanged words with Varney, admitted he went too far and has also said he will speak with Zaha about the incident.
"I was shouting that was wrong and I must be a role model. I will move on, as will Wilf," said Holloway.
"We are a well-run football club and we will deal with the issue concerning Wilf in the right way. I don't expect him to get a ban.
"There were incidents in the game that were not dealt with in the right way. That is now in the past and we have to get on with football."