He played junior hockey for the Hamilton Whizzers in 1942-43 and then turned pro with the Providence Reds of the American Hockey League (AHL). Kemp spent almost all of the next seven seasons in the AHL with the Reds and the Pittsburgh Hornets. In 1948-49 he got his one game callup with the Toronto Maple Leafs.
In 1950 Kemp moved to the Ontario Hockey Association's (OHA) Major series with the Hamilton Tigers and the Toronto Marlboros. After that one season of major hockey, Kemp played senior in the OHA with the Tigers, Brantford Redmen, Stratford Indians, and the Kitchener-Waterloo Dutchmen. He won the Allan Cup in 1955 with the Dutchmen.
He retired in 1957.