Doubles pairing Colin Fleming and Ross Hutchings have put the Great British Davis Cup side into an unassailable 3-0 lead over their Hungarian counterparts.
The pair defeated Attila Balazs and Kornel Bardoczk 6-3 6-4 6-4 at Glasgow's Braehead Arena.
Singles wins from Andy Murray and Jamie Ward yesterday had put the hosts in a comfortable position heading into today's action.
The victory has earned the team promotion to the Europe/Africa Group One.