Chris Riley has now run in 18 Super League tries for Warrington this season
Warrington closed the gap on Super League leaders Wigan to two points again with a 40-28 victory at Odsal.
Full-back Chris Riley and Mickey Higham grabbed two tries each as the visitors dominated from start to finish.
Matt King, Lee Briers and Ryan Atkins also went over as the Wolves secured their fifth straight victory.
Heath L'Estrange, Chris Nero, Steve Menzies, Dave Halley and Brett Kearney scored tries for Bradford, who gave a debut to 18-year-old Cain Southernwood.
Riley's brace from stand-in full-back took him level with Wigan's Pat Richards and Huddersfield's David Hodgson as Super League's top try scorer on 18.
But coach Tony Smith could not hide his frustration after the high-flying Wolves also shipped five tries, twice allowing injury-hit Bradford to draw level.
After starting brightly, the Bulls, also beaten on home soil by Warrington in the Challenge Cup quarter-final three weeks ago, were stunned by Warrington's first try on nine minutes when Riley collected Simon Grix's pass to plunge over in the corner.
And Warrington quickly had a second try when Atkins' rapier-like offload sent in King.
But, from 10-0 down, Bradford roused themselves in impressive fashion, hitting back when L'Estrange followed up good work from Paul Sykes to squeeze over.
Sykes converted and the Bulls were level eight minutes later when Nero squeezed over from point-blank range following Elliott Whitehead's quick pass.
Sykes could not add the goal from near the left-hand touchline and Warrington regained the lead shortly after the half-hour mark when Lee Briers started and finished off a superb flowing move.
Briers, who had missed with his first attempt at goal, converted his own try and added the extras again on the stroke of half-time when Higham went over from acting half.
Yet Bradford refused to surrender, claiming their third try on 44 minutes when Menzies capitalised on a slip from Riley to ground a kick from L'Estrange.
Sykes converted and, six minutes later, Bradford were level when he sent the supporting Halley sauntering clear before adding the extras.
But Warrington's class told as they claimed two tries in as many minutes shortly before the hour.
Riley touched down after two Bradford defenders contrived to miss Briers' high kick and then a devastating breakaway led to Grix sending Atkins clear from 30 metres out.
Briers having converted both tries, the Bulls responded again when Kearney touched down from close range and Sykes booted his fourth goal.
But Higham claimed his second with seven minutes remaining when he again showed brute force to power over and Briers landed his sixth goal.
Warrington coach Tony Smith: "Bradford out-enthused us and we were fortunate to outscore them.
"We are disappointed but I don't want to take anything away from Bradford. They were very spirited and showed what they are about.
"It was not the best performance but that's how it is in sport sometimes."
Bradford coach Steve McNamara: "We conceded a couple of soft tries out of dummy half so there are still signs there for me that at this moment in time we still have some way to go.
"I thought Cain Southernwood made a good start to his Bradford career in a key position.
"He's a typical cheeky scrum-half and has a good future ahead of him if he continues his progression and development."
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