Rose was a member of the team, which was in 1951 and 1957 Davis Cup win in years. In 1954 he won the Australian Open in singles. He also won four Grand Slam tournaments in doubles, namely in 1954 with Rex Hartwig the Australian Open against Neale Fraser and Clive Wilder spin and also 1954 with Rex Hartwig at Wimbledon against Vic Seixas and Tony Trabert. He also won in 1952 with Victor Seixas, the U.S. Open against Ken McGregor and Frank Sedgman and 1953 again with Rex Hartwig again the U.S. Open against Gardner Mulloy and William Talbert. In 1957 he won the Mixed with Darlene Hard at Wimbledon against Neale Fraser and Althea Gibson.
In the 1950s, Rose was five times in the top ten in the world rankings. After he had retired from tennis, Rose was active as a coach. He has worked with the Italian Davis Cup team. He also coached Margaret Court, Kerry Harris, Richard Fromberg, Ian Fletcher, Magdelina Grzybowska, Billie Jean King and Arantxa Sánchez Vicario.