They will miss the team's game Sunday at San Antonio.
"After further investigation into an incident on Thursday night, we concluded that Andray and JaVale conducted themselves in an unprofessional manner," Wizards President Ernie Grunfeld said.
The Washington Post said on its website that Blatche and McGee were involved in an altercation outside an area club early Friday. The newspaper reported that two league sources said the players cursed at each other and exchanged punches. The Post said another source said police were called to break up the fight.