It was Sean Dyche's men who emerged victorious in Burnley and Sheffield United's third Premier League meeting.
Ben Mee scored his first goal at Turf Moor since January 2015 to secure three points for Burnley.
As a result, Sheffield United have now gone five away games without a win this season.
MATCH FACTS
Sheffield United: Ramsdale, Basham, Egan, Robinson, Baldock, Osborn, Ampadu, Stevens, McGoldrick, Brewster, Mousset
Subs: Verrips, Fleck, Lowe, Burke, Norwood, Bogle, Bryan
Burnley: Pope, Lawton, Tarkowski, Mee, Taylor, Brady, Brownhill, Westwood, Pieters, Wood, Barnes
Subs: Peacock-Farrell, Norris, Stephens, Bardsley, Long, Dunne, Mancini, Benson, Mumbongo
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