The midfielders have been told to leave the Ghana squad in Brazil ahead of the nation's final group game against Portugal.
The GFA announced the news Thursday morning in separate statements on its website.
On Muntari, the statement read: "The Ghana Football Association (GFA) has suspended Sulley Ali Muntari indefinitely from the Black Stars with immediate effect. The decision was taken in the wake of his unprovoked physical attack on an Executive Committee member of the GFA and a management member of the Black Stars, Mr. Moses Armah on Tuesday 24th June, 2014, during a meeting. Muntari’s accreditation for the 2014 World Cup has been withdrawn with immediate effect."
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Boateng is accused of hurling verbal insults at coach Kwesi Appiah, a claims he denies.
The GFA stated: "The Ghana Football Association (GFA) has approved coach Kwesi Appiah’s decision to suspend Kevin-Prince Boateng indefinitely from the Black Stars. The decision takes immediate effect and was taken following Boateng’s vulgar verbal insults targeted at coach Appiah during the team’s training session in Maceio this week.
"Boateng has since showed no remorse for his actions, which has resulted in the decision. Boateng’s accreditation for the 2014 World Cup has been withdrawn with immediate effect."