Gosper was appointed an Officer of the Order of Australia (AO) in the 1986 Australia Day Honours for service to sport and sports administration, and was inducted into the Sport Australia Hall of Fame in 1989.
In recognition of his service to sport and sports administration, Gosper received an Officer of the Order of Australia (AO) award in the 1986 Australia Day Honours. He was also inducted into the Sport Australia Hall of Fame in 1989.