However, Spurs made sure of the points before the break as Erik Lamela scored his first Premier League goal with a superb 25-yard drive.
Here, Sports Mole takes a closer look at the action between the two teams at White Hart Lane.
On target: 6
On target: 5
Was the result fair?
Spurs did just about enough to deserve the three points in the end. While Burnley may argue that they should have left the capital with a share of the spoils, the Clarets did not pose enough of a threat to hurt their opponents.
Mauricio Pochettino will be relieved to see his side make it three consecutive wins in all competitions, but he will also be fully aware that they can perform better than this. Tottenham enjoyed plenty of the ball - 65% in total - though some poor finishing in the final third made it a more nervy match than it needed to be. There were also large periods of the game where the possession that they had amounted to very little. Burnley were happy to sit back while the likes of Eriksen and Lamela probed to little avail. That said, the hosts created a wealth of chances and looked positive and full of confidence for the most part. The North London club appears to have turned a corner, which will please fans, players and coaching staff alike, though not a great deal should be read into this result and display.
The Clarets can take lots of heart from their showing at White Hart Lane, though they just fell short when it came to providing that final bit of quality. The visitors had to bide their time and play a patient game as Tottenham hogged most of the possession, but they looked dangerous going forward with George Boyd, Ashley Barnes and the pace of Danny Ings. Sean Dyche's side could even have taken a point with them back to Lancashire on another day had they not come up against a defiant Hugo Lloris. While they did an admirable job of soaking up pressure when they were forced back, there were also a handful of moments when the hosts found it far too easy to carve them open. Still, Burnley should be proud of worrying Tottenham and making their international superstars work hard for the win.
Sports Mole's man of the match
Harry Kane: The youngster saw his stock rise even further with another goal and a performance that was full of energy, enthusiasm and determination. His goal was a fairly simple one as he tapped in from close range, but it was his initiative to take a free kick quickly in the build-up that played a big part in Tottenham going 1-0 up. Compared to the lethargic, impotent Roberto Soldado, Kane is quickly becoming a swaggering hero at White Hart Lane.
Harry Kane had a good chance to put Spurs 2-1 up shortly after Burnley had equalised, but the striker blazed over the crossbar following an Erik Lamela cross. The opportunity was tricky because it was on the angle, but you would have expected Kane to at least have tested Tom Heaton in the Burnley goal from that kind of distance.
Mike Jones had a habit of giving Spurs one too many soft free kicks during the first half, but his performance improved as the afternoon went on. The official allowed the match to flow well after the break, making it an entertaining end-to-end spectacle. Meanwhile, there were no moments of genuine controversy to contend with.
Tottenham: Spurs continue their Premier League campaign on Boxing Day when they travel to struggling Leicester City.
Burnley: The Clarets are back in Premier League action on Boxing Day at home to Liverpool.