The Clarets, who have now secured 31 points over their first 17 matches this season, leapfrogged Liverpool, Arsenal and Tottenham with the victory. However, all three sides will be in action on Wednesday.
Steven Defour nearly put Burnley ahead on 69 minutes, when the front man tested Stoke keeper Jack Butland — who had to make a sprawling save to his right.
While Stoke mustered up several quality chances, it was Johann Berg Gudmundsson’s blast in the first half that nearly found the top left corner.
Next up for Burnley will be a date against Brighton on Saturday, while Stoke travels to Huddersfield the same day.
Chelsea visits the John Smith’s Stadium to face Huddersfield Town in one of three Premier League fixtures this chilly Tuesday in December (Watch live at 3 p.m. ET on NBCSN and online via NBCSports.com).
The Blues are now 14 points back of Manchester City, and three points clear of fifth place.
Meanwhile there are a pair of matches on NBC Sports Gold: Burnley looks to keep pace with its Top Four ambitions when it hosts struggling Stoke City, while in-form Crystal Palace seeks a home win that would move it out of the drop zone. In its way? Dangerous, attack-minded Watford.