Smyth represented Australia at four Summer Olympic Games (1980, 1984, 1988 and 1992), achieving a best result of 4th at the 1988 Games in Seoul where he was the team captain. He was also a member of the Boomers at the FIBA World Championships in 1978, 1982, 1986, 1990 and 1994 with a best result of 5th place in both 1982 and 1994. At the 1984 Los Angeles Olympic Games, Smyth and his wife, Jenny Cheesman, would become the first husband and wife to captain Australian teams at the same Olympics.