Fenlon has been charged with misconduct, which covers offences including insulting or abusive behaviour. The Irishman reportedly made a gesture after his side were thrashed 5-1.
He has been given until next Tuesday to respond to the charge, with a date for a hearing pencilled in for the 14th June.
The Hibs manager made a gesture with his arm as Hearts supporters mockingly chants ‘There’s only one Pat Fenlon’ but he denied reacting to the Hearts fans.
Fenlon commented after the match: “I made a gesture in relation to the way we were playing. We kept giving the ball away cheaply. I don’t know what they were singing to be honest.
“I didn’t get to speak to the referee, he was the last person I wanted to speak to. It was frustration with the way we are playing. The referee (Craig Thomson) said it was the police but I spoke to the police who said they had nothing to do with it so it is disappointing.”