Luis Suarez has been charged by the FA over an alleged gesture he made to supporters after Liverpool's 1-0 defeat at Fulham on Monday.
Liverpool have also been charged with failing to control their players in the aftermath of Jay Spearing's dismissal at Craven Cottage.
Photos in British newspapers appeared to show Suarez aiming a middle-fingered salute at home fans after his side had slumped to their third defeat of the Premier League season.
Liverpool manager Kenny Dalglish was reluctant to take a stance on the incident until having seen proof of the alleged gesture, although he intimated he could act if Suarez is found guilty.
He said: "I haven't seen the picture and I'm not taking anybody's word for it. If you show me the picture and I'm convinced that what you're saying is true, then I've got a decision to make. But until you have proved it is true to me, I won't comment."
Several Liverpool players surrounded referee Kevin Friend after he deemed Spearing's tackle on Moussa Dembele to be worthy of a red card. The club have until 1600 GMT on December 12 to respond to the charges.
A statement on the FA's website read: "Liverpool Football Club have been charged by the FA with failing to ensure its players conducted themselves in an orderly fashion, following the dismissal of Jay Spearing.
"The charge is in relation to Liverpool's Premier League fixture at Fulham on 5 December 2011. Luis Suarez has also been charged following an incident in the same game. The Liverpool player is charged with improper conduct, in relation to an alleged gesture made towards the Fulham fans at the end of the fixture."