It is the first time that the Red Devils have been at the summit of the standings, excluding the opening day of the season, since 17th September 2017.
A draw against the Clarets would have been enough to lift them to that status, but thanks to a 1-0 victory, sealed by Paul Pogba's strike, they will go into Sunday's big clash with Liverpool three points clear of their big rivals.
The top of the standings, however, remain tight. Ole Gunnar Solskjaer's men are out in front on 36 points, three clear of Liverpool, but beyond that things are tight.
Leicester and Everton both sit on 32 points, while Tottenham lead a group of three clubs on 29. Crucially, Spurs have a game in hand over their rivals, while Manchester City, another of the trio just outside the Champions League places, have two games in hand.
Even Aston Villa, back on 26 points, are within striking distance of the top four as they have played two games fewer than many of their rivals.
At the other end of the standings, meanwhile, Sheffield United saw a chink of light thanks to a 1-0 victory over Newcastle. Their run of 17 games without a win at the start of the campaign was, however, an unwanted Premier League record.
Things also look bleak for Sam Allardyce's West Brom, who have only eight points to their name, six short of safety.
View our detailed player statistics for the Premier League at the link below.