The 28-year-old had earlier been charged by the Football Association over an incident during last night's 2-1 Barclays Premier League defeat by Blackburn.
"I fully accept that I was in the wrong on this occasion and accept the charge that the FA have brought against me," said Barton. "I would like to apologise to Chris Hughton, my team-mates, our supporters and of course to Morten Gamst Pedersen and Blackburn Rovers."
He added: "This season, I have really been enjoying my football and although I have been on the receiving end of a few robust challenges, I have, up until now, remained calm in the face of provocation and just carried on with the game.
"But I hold my hands up, I reacted badly to the situation on Wednesday night and I deeply regret it.
"I have been working very hard to keep that side of my game under control and I think it has showed in the way I have been able to get on and enjoy my football this season.
"I look forward to trying to get back into the team once my suspension is over and helping the club maintain its good start to the season."
"I fully accept that I was in the wrong on this occasion and accept the charge that the FA have brought against me," said Barton. "I would like to apologise to Chris Hughton, my team-mates, our supporters and of course to Morten Gamst Pedersen and Blackburn Rovers."
He added: "This season, I have really been enjoying my football and although I have been on the receiving end of a few robust challenges, I have, up until now, remained calm in the face of provocation and just carried on with the game.
"But I hold my hands up, I reacted badly to the situation on Wednesday night and I deeply regret it.
"I have been working very hard to keep that side of my game under control and I think it has showed in the way I have been able to get on and enjoy my football this season.
"I look forward to trying to get back into the team once my suspension is over and helping the club maintain its good start to the season."