The hottest strikers in the division came up against the meanest defence on the road in a frustrating Turf Moor stalemate.
Twice, dominant Burnley hit the woodwork, while Tomasz Kuszczak made a fine second half save from Vokes after the Welshman found room for a far post header.
In a game of few clear-cut chances for either side, Clarets’ keeper Tom Heaton made crucial saves in each half to deny Kazenga LuaLua and Andrea Orlandi.
But with Albion always seemingly happy with a point, the Clarets just couldn’t find the all-important opening to settle a tight encounter.
Burnley welcomed back defender Ben Mee, who was starting his first game since New Year's Day after recovering from injury.
Danny Lafferty, who had held the left back spot, missed out through injury along with winger Keith Treacy.
And the Clarets probably knew they were in for a tight encounter against a Brighton side that had conceded just 10 league goals on the road; the least in the Championship.
However, it was a bright start from the hosts, with David Jones inches away from slipping Danny Ings clear following a sweet passing move through the middle.
In the 16th minute, the Clarets were a whisker away from taking the lead through a training ground corner.
Kightly played a clever one-two with Ings and, from the striker’s back heel, smashed a shot off the base of Kuszczak’s near post from the tightest of angles.
And as the loose ball pinballed around the Brighton box, Vokes’ fierce follow-up shot was bravely headed away by a defender standing guard.
But after constant pressing from the hosts it took a fabulous block from Hesaton to deny LuaLua a surefire opener in the 27th minute.
The winger, in his fourth spell at Albion, created the chance himself by dinking the ball past Michael Duff, but last man Heaton was alert to the danger and blocked the route to goal with his legs.
And as Brighton grew in confidence, the half time whistle came with the visitors marginally in the ascendancy.
Soon after the break, Vokes met Jones’ free kick from the let by-line with a header that flashed past the far post.
And following a move down the right, Scott Arfield tested Kuszczak’s handling with a rising drive form the right side of the box.
Burnley were now probing at Albion’s resilient defence. And when Ings showed neat footwork from a short corner in the box and hung up a cross to the far post, Duff was close to getting a decisive touch.
Jones then saw his measured shot from distance just clear the bar as the Clarets continued to kook for the chink in the Seagulls’ defence.
And when Vokes finally found in inch of space between the two centre backs to meet Trippier’s deep cross, Kuszczak made a fine parry to deny the Welshman a goal in four successive games
Former Albion striker Ashley Barnes was thrown into the fray with 15 minutes remaining replacing Kightly
And almost immediately, Burnley were denied by the woodwork for the second time, as Jones’ cross was turned onto the post with Jake Forster-Caskey getting the final touch.
There was almost a sting in the tail as the ball fell kindly to sub Orlandi, who was denied by a brilliant block from Heaton.
And after a second half constantly pressing for the winner – with Barnes again coming close in the dying seconds with an overhead kick - defeat would have been the cruellest of blows for a side now unbeaten at home for 11 months in the league.
Burnley: Heaton, Trippier, Duff, Shackell, Mee, Kightly (Barnes 76), Jones, Marney, Arfield, Ings, Vokes.
Subs: Cisak, Long, Edgar, Stanislas, Hewitt, Stock.
Brighton: Kuszczak, Greer, Bruno, Upson, Ward, Andrews, Ulloa, Ince, Forster-Caskey, LuaLua (March 79), Lopez (Orlandi 67).
Booked: Ulloa 90
Subs: Dunk, Calderon, Obika, Brezovan, Agustien.
Referee: O. Langford
Att: 11,054 (248)