Harel Levy got the final point, beating Igor Kunitsyn 6-4, 4-6, 7-6 (7-2) at Tel Aviv, Israel.
The Israelis had already built an unbeatable 3-1 advantage Saturday in the best-of-five matches.
Israel goes to the cup semifinals for the first time, playing either Spain or Germany in September.
Copyright 2009 by United Press International.