Amritaj is the son of Vijay Amritraj, who played at Wimbledon for 17 years and in the Davis Cup for 20 years, and the cousin of Stephen Amritraj, whose father was also a professional player. He also has one brother, Vikram who was born in 1987. He is a non-resident Indian who formerly represented India in tournaments and the Davis Cup. He played tennis for the University of Southern California where he majored in business.
As of July 14, 2008, he is ranked 204th in the world.