The Ghana Football Association released two separate statements early Thursday, one saying that Muntari had been suspended for an "unprovoked physical attack on an Executive Committee member of the GFA" on Tuesday.
The other statement said Boateng has also been suspended for aiming "vulgar verbal insults ... At coach Kwesi Appiah" during a training session this week.
Ghana players have been unhappy this week that they have been denied World Cup bonus payments by the country's football federation.