A brilliant double from Craig Mackail-Smith moved Brighton up to fourth in the Championship and left Burnley inside the bottom three.
The Scot opened the scoring with a fine effort from the edge of the box, then added a superb overhead kick late on.
Burnley had equalised through a Gordon Greer own goal after an hour, as Junior Stanislas's cross skimmed off the defender's head.
But the Seagulls' captain made amends with a header two minutes from time.
Brighton, unbeaten in their last three games, were one of the busiest clubs on transfer deadline day, but manager Gus Poyet decided not to start with any of his four signings following the 5-1 thrashing of Barnsley.
Mackail-Smith had been linked with a move to Norwich during the transfer window but he showed he has not been distracted by any speculation about his future, collecting Gary Dicker's free-kick and firing in from 20 yards for his third goal of the season.
There was little other goalmouth action in a lacklustre first half but Brighton nearly doubled their advantage after the break when Ashley Barnes' header was saved by Lee Grant.
Charlie Austin went close for Burnley, heading onto the roof of the net, before his side equalised when Stanislas's vicious cross proved too difficult for Brighton to deal with.
The hosts almost took the lead when Ross Wallace sent in a powerful drive from 35 yards, but Tomasz Kuszczak tipped it over.
Brighton were denied a goal when Grant saved from Mackail-Smith, but there was no stopping the Scotland international's acrobatic effort 13 minutes from time.
The points were secured when Greer met Andrea Orlandi's cross, leaving Grant with no chance.
Booking The referee books Ashley Barnes for unsporting behaviour.
Free kick awarded for an unfair challenge on David Edgar by Ashley Barnes.
Corner from the right by-line taken by Andrea Orlandi, Close range headed effort by Gordon Greer goes wide of the left-hand upright.
The assistant referee flags for offside against Sam Vokes. Tomasz Kuszczak takes the indirect free kick.
Free kick awarded for an unfair challenge on Joseph Mills by Saltor Bruno. Joseph Mills takes the direct free kick.
The assist for the goal came from Andrea Orlandi.
87:03 Goal scored
Goal - Gordon Greer - Burnley 1 - 3 Brighton Gordon Greer gets on the score sheet with a goal from inside the six-yard box to the bottom left corner of the goal. Burnley 1-3 Brighton.
Inswinging corner taken left-footed by Andrea Orlandi,
Booking Tomasz Kuszczak receives a caution for time wasting.
Unfair challenge on Jason Shackell by Ashley Barnes results in a free kick. Free kick taken by Junior Stanislas.
Substitution Sam Vokes is brought on as a substitute for Dean Marney.
Will Buckley has an effort at goal from deep inside the area missing to the left of the target.
Substitution Andrea Orlandi replaces Kazenga LuaLua.
Charlie Austin takes a shot. Save by Tomasz Kuszczak. Corner from the right by-line taken by Ross Wallace, Header from close in by Charlie Austin misses to the left of the target.
Assist by Saltor Bruno.
76:01 Goal scored
Goal - Craig Mackail-Smith - Burnley 1 - 2 Brighton Craig Mackail-Smith finds the net with a goal from inside the area to the bottom right corner of the goal. Burnley 1-2 Brighton.
Craig Mackail-Smith takes a shot. Save made by Lee Grant. Corner taken right-footed by Kazenga LuaLua from the left by-line,
Ashley Barnes takes a shot. Jason Shackell gets a block in. Short corner taken by Kazenga LuaLua from the left by-line.
Ross Wallace takes a shot. Save by Tomasz Kuszczak. Corner taken by Ross Wallace from the right by-line.
Joseph Mills produces a cross, Charlie Austin takes a shot. Tomasz Kuszczak makes a save.
The offside flag is raised against Craig Mackail-Smith. Lee Grant restarts play with the free kick.
Direct effort from the free kick comes in from Kazenga LuaLua.
Booking Chris McCann goes into the referee's book.
Unfair challenge on Liam Bridcutt by Chris McCann results in a free kick.
Free kick awarded for an unfair challenge on Kieran Trippier by Kazenga LuaLua. Lee Grant restarts play with the free kick.
The official flags Craig Mackail-Smith offside. Jason Shackell takes the free kick.
Inswinging corner taken right-footed by Will Buckley from the left by-line to the near post.
Booking Ross Wallace booked.
Wayne Bridge takes a shot. Blocked by David Edgar.
Headed effort from close range by Junior Stanislas goes wide left of the target.
Free kick taken by Liam Bridcutt.
Substitution Cameron Stewart leaves the field to be replaced by Ross Wallace.
Junior Stanislas gives away a free kick for an unfair challenge on Will Buckley.
Junior Stanislas provided the assist for the goal.
59:36 Goal scored
Goal - Gordon Greer - Burnley 1 - 1 Brighton Own goal by Gordon Greer. Burnley 1-1 Brighton.
A cross is delivered by Junior Stanislas,
Unfair challenge on Kazenga LuaLua by Kieran Trippier results in a free kick. The free kick is delivered right-footed by Liam Bridcutt from left wing.
Header on goal by Charlie Austin from inside the box goes harmlessly over the target.
Junior Stanislas challenges Will Buckley unfairly and gives away a free kick. Gordon Greer restarts play with the free kick.
Free kick taken by Kieran Trippier.
Booking Caution for Will Buckley.
Shot by Kazenga LuaLua from deep inside the penalty area misses to the left of the goal. Will Buckley gives away a free kick for an unfair challenge on Joseph Mills.
Kazenga LuaLua takes a inswinging corner from the left by-line to the near post.
Ashley Barnes takes a shot. Save by Lee Grant.
Foul by Jason Shackell on Wayne Bridge, free kick awarded. Direct free kick taken by Liam Bridcutt.
Charlie Austin concedes a free kick for a foul on Gordon Greer. Saltor Bruno takes the free kick.
The match restarts for the second half.
Substitution Martin Paterson joins the action as a substitute, replacing Marvin Bartley.
45:00 +4:26 Half time
Half Time It is the end of the first-half.
Free kick awarded for a foul by Craig Mackail-Smith on Joseph Mills. Joseph Mills takes the direct free kick.
Short corner taken by Joseph Mills.
Corner taken right-footed by Liam Bridcutt to the near post, clearance by Jason Shackell.
Unfair challenge on Craig Mackail-Smith by Jason Shackell results in a free kick. Free kick crossed right-footed by Liam Bridcutt, free kick awarded for a foul by Gary Dicker on David Edgar. Lee Grant takes the direct free kick.
Inswinging corner taken left-footed by Joseph Mills, clearance made by Kazenga LuaLua.
Kazenga LuaLua takes a inswinging corner from the left by-line played to the near post, Close range headed effort by Adam El-Abd goes wide of the left-hand post.
Ashley Barnes fouled by Charlie Austin, the ref awards a free kick. Free kick taken by Liam Bridcutt.
Substitution Andrew Crofts leaves the field to be replaced by Will Buckley.
Andrew Crofts takes a shot. David Edgar gets a block in.
Kazenga LuaLua has an effort at goal from just outside the box which goes wide of the left-hand upright.
Liam Bridcutt takes a shot.
Inswinging corner taken by Kazenga LuaLua.
Cameron Stewart takes a shot.
Corner taken right-footed by Liam Bridcutt from the right by-line to the near post, Gordon Greer takes a shot. Blocked by Jason Shackell.
Kieran Trippier concedes a free kick for a foul on Kazenga LuaLua. Liam Bridcutt crosses the ball from the free kick right-footed from left wing, clearance made by Jason Shackell.
Shot from just outside the box by Marvin Bartley misses to the left of the goal.
Gary Dicker provided the assist for the goal.
17:10 Goal scored
Goal - Craig Mackail-Smith - Burnley 0 - 1 Brighton Craig Mackail-Smith grabs a goal from just outside the area to the bottom right corner of the goal. Burnley 0-1 Brighton.
Foul by Dean Marney on Wayne Bridge, free kick awarded. Free kick taken by Liam Bridcutt.
Cameron Stewart produces a right-footed shot from just outside the box that goes wide right of the target.
Kieran Trippier delivers the ball from the free kick right-footed from left wing.
Booking The referee books Saltor Bruno for unsporting behaviour.
Saltor Bruno concedes a free kick for a foul on Cameron Stewart.
Free kick awarded for an unfair challenge on Chris McCann by Kazenga LuaLua. Kieran Trippier takes the direct free kick.
Craig Mackail-Smith concedes a free kick for a foul on Jason Shackell. Direct free kick taken by Jason Shackell.
Centre by Kazenga LuaLua, clearance made by David Edgar.
Liam Bridcutt takes a shot.
Chris McCann takes a shot. Blocked by Gordon Greer.
The referee gets the game started.
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