The result means that Chris Finch's team are now a win clear of the Macedonians, and have a game in hand.
Hungary had enjoyed a double-digit lead early in the fourth quarter, with a pair of free throws from Adam Hanga putting them on top 65-54, and despite a late run spurred by Bo McCalleb, the Hungarians held on for a win that puts GB firmly in charge of the group.
GB travel to Macedonia on Monday knowing that a victory will see them become the first team to clinch a place at Lithuania through the qualifiers.
McCalleb's 35 points against Hungary saw him move about Luol Deng in the scoring charts, now averaging 25.5 points per game. Deng has actually dropped down to third spot in scoring with Italy's Andrea Bargnani just ahead of him with 22.5 points per game.
Deng is currently averaging 22.4 points and is also sixth in the rebounding charts with an average of 7.6 boards per game.
His GB team-mate Pops Mensah-Bonsu continues to dominate the rebounding stats, topping the defensive charts with 7.2 rebounds and the offensive table with five boards per game. He is also topping the double-double charts with three in five games.
