A dour stalemate at Molineux helped the Clarets to extend their unbeaten run to seven games.
It’s also now just one defeat in 13 games for Sean Dyche’s men, who struggled on a lifeless pitch to reach the heights of recent weeks.
Two early chances to Scott Arfield and Andre Gray were as close as the visitors came to extending their winning streak.
But at the other end, Tom Heaton was largely protected by a resolute defence that racked up its fifth clean sheet of the campaign.
Sean Dyche named an unchanged side for the fourth game in succession – and it was a bright start from the Clarets, who were twice on target in the opening three minutes.
Arfield had a tentative shot from 20-yards after just 40 seconds which was straight at Emiliano Martinez.
George Boyd then flicked onto Gray, who went for goal from a similar position, but again the shot was straight at the Argentinean.
After a quiet spell, it was the Clarets who again came closest to scoring in the 20th minute mark.
Gray was this time on the end of a Vokes flick-on, but the forward's shot on the swivel was well saved by Martinez, low to his left.
But five minutes later, after settling, the hosts had their first effort on goal.
Benik Afobe was played through in the box and from a tight angle somehow managed to find the target, forcing Tom Heaton to instinctively flick over.
Heaton was then called upon once more on the half hour mark, comfortably holding onto a James Henry free-kick from distance.
And as a half of precious few clear-cut chances drew to a close, Henry went for goal from the right in open play, this time with a curling left footed strike flew harmlessly wide.
Vokes and Gray linked up well moments into the second half, teeing up Boyd on the edge of the box, but his drive lacked pace and direction to trouble Martinez.
And on the mark, as the hosts began to exert pressure, a rasping Afobe strike flew inches wide of Heaton’s far post after Dave Edward’s initial strike was superbly blocked.
Henry, who proved to be a problem all game for the Clarets, then found Afobe on the penalty spot midway through the second half, but a poor glancing header killed a promising chance for the hosts.
And after two enforced substitutions for the Clarets, who withdrew Ben Mee and Sam Vokes with tight hamstrings, it was the hosts who had the better of the chances going into the final stages.
Afobe’s clever knock-down found Edwards, whose diagonal strike from the edge of the box grazed the bottom left post.
And when a short corner found Henry at the edge of the box, his curling strike from 20-yards went past the post to take with it the hosts’ last chance.
Burnley: Heaton; Darikwa, Duff, Keane, Mee (Ward 78); Boyd (Taylor 75), Jones, Barton, Arfield; Vokes (Hennings 65), Gray
Subs: Gilks, Lowton, Kightly, K. Long
Yellow: Arfield 45’, Mee 63’
Wolves: Martinez (Ikeme 57); Iorfa, Batth, Williamson, Golbourne; Henry, McDonald, Edwards, Price, Ojo (Byrne 57); Afobe
Subs: Doherty, Wallace, Coady, Holt, Le Fondre
Yellow: Ojo 52’, McDonald 88’
Referee: Jonathan Moss