Jack Robinson redeemed himself after giving away two penalties to help the Blades to a stunning victory against the Championship pace Setters with a goal in the second half.
Four unanswered goals saw the hosts battle back to end the Clarets' 16- match winning streak and lift United up to second in the table.
Iliman Ndiaye had the hosts level at the half-hour mark after turning home a well-worked corner from close range.
In the final minute of the first half, after pinching the ball from Robinson deep in defence, and moments after Oli McBurnie had an effort cleared off the line at the other end, there was a goal.
Robinson made up for his first-half errors with a shot from close range that gave the hosts the lead for the first time.
Anel Ahmadhodzic made it 4-2 from six yards and McBurnie slid home his second and fifth as they ended a four-game winless run at home.
The chance to move nine points clear at the top of the table was denied by the defeat.
The win moved the Blades to within three points of the leaders and above them if they beat the Terriers later on Saturday.
Jay Rodriguez, who scored his ninth goal of the season in the dramatic midweek win against Rotherham, was rested for the trip to Bramall Lane as the Clarets tried to manage his workload.
Robinson was unlucky to direct into his own net after a 17th-minute corner was worked back across for the winger to tee up an effort from the left.
Taylor Harwood-Bellis could have doubled the advantage moments later, but failed to hit the ball.
The Blades caused the visitors trouble from set-pieces from the start, and what appeared to be a fortuitously awarded corner after half an hour resulted in the tying goal from Ndiaye.
Both sides wanted a second goal before the break, as Ian Maatsen's shot hit the woodwork.
Robinson, whose low shot was turned goalwards by McBurnie and cleared off the line by Harwood-Bellis, was to blame for the second goal of the game.
In the final minute of the first half, after the heavy hit of the Blades man, Benson bent a fine finish into the bottom corner.
In-form forward McBurnie, who came off the bench in Tuesday's win at Bristol City as manages the pain of playing with a hernia, nodded the Blades level with their first attack of the second half.
Robinson gave the hosts the lead in chaotic fashion in a crowded area, steering the ball home after Ahmedhodzic hit the post, and while Muric went on to save well from McBurnie and Ahmadhodzic, the hosts soon added to their advantage.
McBurnie took his tally to nine goals this season as he latched on to a rebound after Muric kept George Baldock's effort out, and Ahmedhodzic was not to be denied as he struck home from a corner.
All Rights Reserved © 2024
