The Football Association charged both Mings and Ibrahimovic with violent conduct on Monday, over incidents in Saturday’s 1-1 draw at Old Trafford.
Mings appeared to step on Ibrahimovic’s head, before the United man retaliated with an elbow moments later.
The Swede has already accepted the charge and will serve a three-match ban, but Bournemouth contested it.
However, an Independent Regulatory Commission found Mings guilty of violent conduct and he will miss Premier League games against West Ham, Swansea, Southampton, Liverpool and Chelsea.
“AFC Bournemouth’s Tyrone Mings will serve a five-match suspension with immediate effect, following an Independent Regulatory Commission hearing today,” a statement from the FA on Wednesday afternoon read.
“The defender was charged with violent conduct in relation to an incident in or around the 44th minute of the game against Manchester United on Saturday [4 March 2017] which was not seen by the match officials at the time but caught on video.
“Furthermore, The FA claimed that the standard punishment of three matches which would otherwise apply for the misconduct committed would be ‘clearly insufficient.’
“The player denied both the charge and the claim, however, both matters were found proven and a two-match suspension was added by the Commission to the standard sanction for violent conduct.”