Kramer won the Wimbledon men's singles title in 1947 and the men's U.S. Championships, the forerunner of the U.S. Open, in 1946 and '47. He was the No. 1 player in the world for much of the late 1940s.
Kramer was among the founders of the Association of Tennis Professionals. Since the 1970s, he and his family have run a pro tennis tournament in Los Angeles.
Details of a memorial service were expected later this week.