Glasgow claimed their first ever away victory over the Blues, winning 21-5 at City of Cardiff Stadium in the Magners League without having to play particularly well.
A combination of turnovers and handling errors by the hapless home side provided the Warriors with ample possession and Irish referee George Clancy awarded a string of penalties.
Tries from Thom Evans and Johnnie Beattie capped the Scottish side's win.
After Dan Parks had put the visitors in front with the first of the penalties, it was the Blues who looked the more fluent, with wing Richard Mustoe and number eight Andy Powell causing problems.
But basic mistakes repeatedly cost them attacking positions and it was Parks, in a rare Glasgow foray downfield, who doubled the lead with another easy kick from in front of the posts.
Clancy was irking the 9,185 crowd with some of his decisions, receiving a crescendo of boos when he decided that a big hit by Mustoe, which saw Warriors centre Dave McCall flying over his head, was dangerous.
At least Parks spared them further anger by missing his long-range penalty.
Another tremendous charge by Powell earned the Blues a rare penalty of their own, but Leigh Halfpenny, in at full-back instead of the injured Ben Blair, made a hash of it.
Glasgow were putting boot to ball to good effect and their varying skills in that department brought a try to end the first half.
A steepler from full-back Bernardo Stortoni was fumbled by Blues scrum-half Gareth Cooper, the Warriors claimed possession and Parks delivered a neat chip for Thom Evans to touchdown.
The Scottish fly-half was proving less adept with place-kicks, however, pushing the conversion wide and then hitting a post with a penalty to open the second period.
Once again it was the Blues throwing the ball around, but once again they were turned over and Glasgow looked certain to score, only for centre Gavin Evans, making his first start since arriving from the Scarlets, to produce a try-saving tackle on Parks.
Another penalty followed and this time Parks made no mistake.
A gallop by lively Warriors flanker Richie Vernon might have brought a score, had he not opted to ignore the unmarked McCall. But if the visitors could not create a try of their own, they could rely on the Blues to do it for them.
Once more they spilled the ball in the Scots' 22 and Thom Evans broke clear to send number eight Beattie under the posts to provide Parks with a simple conversion.
A late try by flanker Sam Warburton merely enabled the Blues to avoid a whitewash, and a last-minute yellow card for a high tackle by Glasgow replacement Calum Forester made little difference to the inevitable outcome
Cardiff Blues: 15 Leigh Halfpenny, 14 Richard Mustoe, 13 Tom Shanklin, 12 Gavin Evans, 11 Gareth Thomas, 10 Sam Norton-Knight, 9 Gareth Cooper, 8 Andy Powell, 7 Robin Sowden-Taylor, 6 Sam Warburton, 5 Paul Tito (captain), 4 Deiniol Jones, 3 Gary Powell, 2 Gareth Williams, 1 John Yapp.
Replacements: 16 Darren Morris, 17 Rhys Williams, 18 Bradley Davies, 19 Scott Morgan, 20 Darren Allinson, 21 Ceri Sweeney, 22 Chris Czekaj.
Glasgow: 15 Bernardo Stortoni, 14 Rob Dewey, 13 Dave McCall, 12 Graeme Morrison, 11 Thom Evans, 10 Dan Parks, 9 Chris Cusiter, 8 Johnnie Beattie, 7 John Barclay, 6 Richie Vernon, 5 Alastair Kellock (capt), 4 Tim Barker, 3 Moray Low, 2 Dougie Hall, 1 Jon Welsh.
Replacements: 16 Pat MacArthur, 17 Kevin Tkachuk, 18 Dan Turner, 19 Kelly Brown, 20 Colin Gregor, 21 Hefin O'Hare, 22 DTH van der Merwe.
Referee: George Clancy.
Assistant Referees: David Bodilly, Phil Harrhy.
TMO: Gareth Simmonds.