Three first-half goals, including a brace from man of the match John Lundstram were enough to secure another three Premier League points.
The Blades controlled the game from start to finish, with John Fleck also on target, as United extended the current unbeaten run to four matches, by comprehensively beating Burnley.
For the clash against the Clarets, boss Wilder made one change from the starting XI which drew at West Ham, with Mousset replacing Robinson in attack, otherwise it was the same 18 that were on duty at the London Stadium.
The Blades forced a couple of early corners with O'Connell and then Fleck the ones driving the visitors back, although neither led to a clear-cut chance. Basham then advanced, but his low cross just evaded the run of Mousset. It was United doing all the attacking, but after a Lowton slip, McGoldrick couldn't make a clean contact with the ball from a promising position.
On 17 minutes, the Blades deservedly hit the front and an team excellent goal it was too. Stevens freed McGoldrick down the left, his low ball into the box was flicked on by Mousett and LUNDSTRAM, who had timed his run perfectly, was there to slot home past Pope at the back post.
Ten minutes later, the Lane had a nervous wait following Burnley appeals for a penalty. But after a VAR review, referee Hooper indicated for play to resume, after it was adjudged O'Connell hadn't deliberately handled the ball after it dropped from McNeil's cross.
Much to his annoyance, Tarkowski was the first player to be booked for a late challenge on McGoldrick. And United compounded his frustration further by scoring twice in as many minutes before half-time.
Firstly, Stevens combined with McGoldrick before his low cross evaded everyone and allowed LUNDSTRAM to slid home his second at the back post. The crowd hadn't even taken their seats before, FLECK burst through on goal following a slid rule pass by Mousett, before keeping his composure to fire low and hard past a stranded Pope.
The opening moments of the second period were quiet, although Barnes should have done better when firing over from close range for the visitors. In response, the ball fell kindly for Stevens on the edge of box, but his goal bound effort was deflected behind for a corner, from which Egan couldn't make a clean connection with his header.
As the hour mark approached, it continued to be the Blades pushing forward, but this time Pope was equal to McGoldrick's header from O'Connell's deep cross. Unsurprisingly, Mousset, who had a hand in all three goals, received a warm applause as he was replaced by Sharp.
Burnley then forced a corner, but Henderson had his angles right to deny Tarkowski at the back post. McGoldrick robbed Cork on halfway before advancing forward and freeing Sharp, only for Pope to deny the substitute with his feet.
There were 16 minutes remaining as McBurnie was introduced in place of the excellent and hardworking McGoldrick. Jagielka for Egan was United's final change, with the defender appearing to be in some discomfort. Lundstram had his sights firmly on the matchball as he advanced forward down the right, but having cut inside he fired over from the edge of the area.
The clocking was ticking in United's favour, but Basham was cautioned for a infringement involving Vydra. Another break led to another chance for Lundstram, this time Stevens freed Sharp who in turn laid the ball into the midfielder's path, but his effort drifted wide of the far post, but it mattered not as the Blades safely saw out the three minutes of added time to claim another deserved home success.
Blades: Henderson, Baldock, Stevens, Fleck, O'Connell, Basham, Lundstram, Egan (Jagielka 79), Norwood, McGoldrick (McBurnie 74), Mousset (Sharp 64).
Unused: L. Freeman, Robinson, Moore, Bešić.
Burnley: Pope, Lowton, Cork, Tarkowski, Mee, Barnes, McNeil (Brady 59), Hendrick, Westwood, Rodriguez (Vydra 78), Pieters (Taylor 45).
Unused: Gibson, Hart, Lennon, Bardsley.
As it happened...
First corner of the game for the visitors, and it is a routine claim for Dean Henderson. 0-0.
Corner for United now, taken by Norwood, into the near post and Burnley head clear. 0-0.
Fleck almost dances his way through the Burnley defence. The visitors eventually get a foot in, it goes behind for a corner and Burnley clear. 0-0.
Basham with a driving run into an advanced position.
From the edge of the area, he sends in a low cross which has the Burnley defence worried, but Mousset can't quite get there in time. 0-0.
Norwood with a deep cross looking for the advancing Baldock who at full stretch can't get a telling touch. Goal kick. 0-0.
Baldock's cross from the right looking for Mousset who can only get a small touch, it comes through to McGoldrick at the back stick but from a tight angle he shoots wide. 0-0.
Goal for United!
The Blades deserve to be in front. McGoldrick crosses low into the near post towards Mousset who gets a touch. It rolls on to Lundstram who slots the ball low into the corner. 1-0.
United sweeping forward again. Baldock with an interception. He slots the ball into the channel for Mousset to chase, and the run ends with a cross/shot which goes wide. 1-0.
Great link up play between McGoldrick and Mousset. The Frenchman then goes around his man, but scuffs his centre and Burnley clear. 1-0.
Burnley with a strong shout for a penalty for handball against O'Connell which is waved away after a VAR check. 1-0.
Good spell for Burnley for the first time in the match, but United have held firm and it remains 1-0.
Baldock surges into the area but after doing some terrific work he can't pick out a team-mate in the area and Burnley head clear. 1-0.
Tarkowski first into the book for a late challenge on McGoldrick.
Mousset tries his luck from distance but sails his effort wide from 30 yards. 1-0.
Mousset down here for United as he takes an accidental whack in the back. After some treatment, he's given the OK to continue. 1-0.
GOAL FOR UNITED!
Fantastic work by Stevens who receives the ball back from McGoldrick. He puts in an inch perfect cross low across the six-yard box and Lundstram is there for his second. 2-0.
GOAL FOR UNITED!!
It's three for the Blades! Again, Burnley sliced open as a mistake at the back results in Mousset playing in Fleck who finishes low into the corner. 3-0.
Three added minutes
Blades 3 - 0 Burnley
Goals from Lundstram (2) and Fleck have United three up at the break.
Second half underway...
Burnley half-time sub, Charlie Taylor for Erik Pieters
Best chance of the game for the visitors so far.
A low cross into the area diverts off the boot of Lundstram into the path of Ashley Barnes who fires over. 3-0.
Wonderful cross by Norwood which is headed clear as far as Stevens. He has to wait for the ball to sit before shooting which allows Burnley to get in a half block. The ball diverts behind for a corner, and from that centre Egan heads harmlessly wide. 3-0.
O'Connell crosses from distance straight onto the head of McGoldrick who forces Pope into a save. 3-0.
Second sub for Burnley as McNeil is replaced by Robbie Brady.
First change for United as Billy Sharp replaces Mousset.
Burnley asking questions as a dangerous cross is eventually put behind. The following corner is headed towards goal, but Henderson pushes it away. 3-0.
Terrific run by McGoldrick as he wins the ball back and breaks at speed. He feeds a pass through to Sharp whose low drive is saved by the feet of Pope.
Barnes into the book for Burnley.
United corner is cleared to Lundstram who hits a terrific volley with his left which is beaten away by Pope. 3-0.
Sub for United. McGoldrick, who has been brilliant, makes way for Oli McBurnie.
Final change for Burnley. Rodriguez is replaced by Matej Vydra.
Change for United, Egan, who has taken a bang to the head but looks okay, is replaced by Phil Jagielka.
Norwood wins the ball back for United. He drives forward before sliding the ball into the path of Lundstram, he checks inside but curls the ball wide of the far post.
United defend a couple of balls into the area, then a Burnley corner sails behind for a goal kick. 3-0.
Basham sees yellow after blocking a Burnley run by Vydra.
Brady smashes the resulting free-kick straight into the wall. 3-0.
Sharp on the counter attack surges into the Burnley half, and plays in Lundstram who guides his effort just wide in search of his hat-trick. 3-0.
Three minutes added time.
Blades 3 - 0 Burnley
First-half goals from Lundstram (2) and Fleck ensure a fully deserved win for the Blades.