Makeshift midfielder Andre Bikey played a neat one-two with David Nugent before slotting in Burnley's second.
Keane slotted a penalty into the bottom corner after strike partner Jermain Defoe was brought down by Andre Bikey.
Bikey clipped a free-kick into the area and Easton capitalised by sending in a left-footed shot from six yards.
But Spurs went ahead as Bikey clumsily hauled down Defoe and Keane sent Jensen the wrong way from the spot.
Leeds keeper Kasper Schmeichel had to save an Andre Bikey header before the home side made Leeds pay for their earlier misses.
And Alexander, the master from 12 yards, put them level before half-time from the spot following Vermaelen's foul on the hulking figure of Andre Bikey.
Larsson also had a gilt-edged chance for the visitors after Bikey gave the ball away for Burnley only for the Blues' substitute to shoot over.
Burnley were punished heavily for poor defending, with Bikey caught in possession before Fabregas was allowed to stroll into the penalty area and score low past Brian Jensen.
Bikey made no such mistake when he fended off a challenge in midfield, surged towards goal, played a one-two with Nugent and powered in an angled shot.
City's defence was stretched when Corluka had to block Doyle's ferocious shot and, from the resulting corner, Hart had to push Bikey's shot on to the bar.
And, after Snodgrass hit the crossbar following a fine run and curling shot, his cross was deflected off Bikey's knee and cleared off the Burnley goalline by Carlisle.
But Burnley cranked up the intensity and gained their reward when Alexander delivered a dangerous set-piece and Bikey made no mistake with thumping a header past Jason Steele.
Mears had a free-kick tipped over and Bikey put a free header high as Burnley ended up convincing winners, despite Larsson scoring with virtually the last kick of the game.
Another testing centre from Wallace led to Clarets centre-back Bikey thumping a header against the post, while at the other end Jensen produced an eye-catching double save from Gary O'Neill.
The visitors could have gone ahead in the seventh minute after Hugo Colace dinked a ball over Andre Bikey for Goran Lovre, but Leon Cort came racing back to clear the danger.
Nugent is likely to be the final Burnley signing of a transfer window that has seen them recruit David Edgar, Steven Fletcher, Tyrone Mears, Brian Easton, Richard Eckersley, Andre Bikey and Joe McKee.
Blake had supplied the delivery for the opening goal and delivered a corner that the unmarked Andre Bikey disappointingly headed wide while Chris Eagles forced a save from Friedel with a low strike.
Spanish international midfielder Cesc Fabregas put Arsenal ahead early in the match at Turf Moor, but Burnley, who have an impressive home record, leveled after Thomas Vermaelen fouled Andre Bikey to concede a penalty.
Referee Mike Dean had the easiest of decisions when Vermaelen flattened Bikey in the area, and the reliable Alexander completed what is now effectively a formality by drilling his penalty past Almunia for his 100th career league goal.
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