The league leaders were already guaranteed to be top of the tree at Christmas and a first-half goal from Diego Costa extended a run that stretches back to October 1.
Chelsea last won 11 on the bounce during their 2009-10 title-winning season and have been crowned champions each time they have previously topped the table on Christmas Day.
Costa’s opener came at the end of a drab first half but marked a sparkling return to form for the Spain international, whose 13th Premier League goal of the season takes him beyond his tally for the entire 2015-16 campaign.
Chelsea’s joy at moving nine points clear of Liverpool and Arsenal at the summit was tempered somewhat by yellow cards for Costa and N’Golo Kante, who are now suspended for the Boxing Day clash with Bournemouth.
Willian – one of the men to come in – was central to the visitors’ first meaningful attack.
David Luiz’s low effort deflected wide off a Palace defender and the home side were soon threatening at the other end – Jason Puncheon scuffed his strike from a Martin Kelly cross to send the ball wide of the target.
In a half of few clear-cut chances, Palace were having most joy down the right, with Kelly whipping in another cross that James McArthur headed just wide.
Another attack down that flank resulted in a free-kick when Wilfried Zaha – earlier involved in a minor squabble with Damien Delaney over the make-up of a wall – was brought down just outside the box, but Jason Puncheon curled just over from the set-piece.
It was Chelsea who eventually snatched the lead just before the break, Costa getting his head on the end of a superb hanging cross from Azpilicueta to send the ball looping over Hennessey – the game’s first effort on target and Costa’s 50th Chelsea goal.
Marcos Alonso then drove a volley into the side-netting as he picked up the pieces from an intercepted Victor Moses cross after 67 minutes, while Fabregas – on for Willian – guided a tame effort straight at Hennessey.
Chelsea continued to look the more likely to score the game’s second goal, with Hennessey getting down well to his right to keep out Kante before Alonso rattled the crossbar from a free-kick, but they had to settle for a one-goal margin to put real distance between themselves and their title rivals.
ea’s Boxing Day home clash wth Bournemouth as will N’Golo Kante who also received a fifth yellow card of the campaign – but this means both players will be available for the New Year clash with Tottenham Hotspur.
Key Opta stats
o Antonio Conte is the first Premier League manager to win 14 of his opening 17 games in the competition.
o Chelsea have now equalled their all-time top-flight club record run of 11 consecutive wins; also set in September 2009.
o It’s also Chelsea’s longest-ever winning streak in a single league season.
o Crystal Palace have lost more Premier League games in 2016 than any other team (22).
o No Premier League side has won more London derbies than Chelsea (116) – level with Arsenal.
o Diego Costa has scored 50 goals in all competitions for Chelsea; 17 more than any other player for the club since his debut.
o Costa has scored more Premier League goals this season (13) than in the entire 2015-16 campaign (12).
o Diego Costa and N’Golo Kante picked up their 5th bookings of the Premier League season, ruling them out of their next fixture against Bournemouth.
o Gary Cahill made his 300th Premier League appearance.
o Crystal Palace have kept just one clean sheet in their last 22 Premier League matches.