The Wizards pulled off a rare and unlikely victory over a team that went into the evening's action tied for the lead in the Atlantic Division.
Washington won for just the 12th time all season and ended a five-game losing streak.
Martin hit 8-of-12 shots from the field and helped Washington roll to a 55-36 halftime lead. Jordan Crawford added 17 points for Washington.
Washington outrebounded the 76ers by 14 and limited Philadelphia to 36 percent shooting.