The leaders were held at home while reigning champions City saw off West Ham.
United, led by caretaker manager Michael Carrick for the first time in a league game, took the lead five minutes into the second half when Jadon Sancho pounced on Jorginho’s poor touch and slotted past Edouard Mendy.
Jorginho redeemed himself as Chelsea were awarded a penalty after Aaron Wan-Bissaka was adjudged to have fouled Thiago Silva, and the Italy midfielder made no mistake from the spot.
Chelsea now lead Manchester City by just one point after Pep Guardiola’s side beat West Ham 2-1 in snowy conditions.
Ilkay Gundogan broke the deadlock in the 33rd minute with a tap in, capitalising on a deflection from Riyad Mahrez’s effort.
The ground staff were out at half-time to clear the pitch after heavy snowfall throughout the opening period.
Fernandinho scored a second for City in the 90th minute before Manuel Lanzini netted a consolation for the visitors.
A Jamie Vardy brace dampened Claudio Ranieri’s return to the King Power Stadium as his Watford side were beaten 4-2 by his former club.
The hosts took the lead through James Maddison in the opening 20 minutes after he punished a misjudgement from William Troost-Ekong.
Joshua King levelled from the spot but Vardy restored Leicester’s lead minutes later and netted a second just before half-time.
Emmanuel Dennis pulled a goal back for Watford in the second half but Ademola Lookman restored the two-goal advantage in the 68th minute.
Everton’s winless run extended to seven games as Ivan Toney’s first-half penalty was enough for Brentford to earn their first win since the start of October.
Andros Townsend caught Frank Onyeka in the head with a high challenge and after a consultation with the VAR monitor pitch-side, the referee awarded a penalty which Toney subsequently converted.
Elsewhere, Burnley’s game against Tottenham at Turf Moor was called off just under an hour before kick-off due to heavy snowfall.