And now he will attempt to create history against Southampton on Boxing Day.
Harry Kane stole the show once more, scoring three and threatening throughout, and the Spurs boss mentioned how he sees the England forward surpassing Shearer's Premier League goal scoring record in the very near future.
"It's a nice present for sure, it was a tough game, we knew it would be a tough game before but we know it could have been a lot more, we missed some good chances".
In the other Premier League games, Brighton pipped Watford 1-0, Southampton drew 1-1 with Huddersfield, Stoke City defeated West Brom 3-1, Swansea City drew 1-1 with Crystal Palace, while West Ham lost 2-3 to Newcastle. The team today fought, it was a massive battle, Burnley are doing a fantastic season, for me it is an unbelievable performance.
"I have to congratulate Harry, 36 goals, he has the same record that Alan achieved", the Argentinean said.
Kane Hits Hat-trick, Equals Shearer's Record as Spurs Thrash Burnley
"It's hard to find words to describe Harry Kane".
On his side's win, which was sealed after two Kane goals in the final 21 minutes, Pochettino added: "The team were wonderful, we dominated the game and deserved the victory".
Burnley began the match as the higher-placed team in the table but were behind in the seventh minute when Kane converted a penalty controversially won by Dele Alli. There really did not appear to be too much more than that, there was no obvious foul and only minimal contact, but Alli hit the deck and referee Michael Oliver pointed to the spot. By the end of the first half they were pushing Spurs back into their own half, though without doing enough in front of goal to pose Lloris any serious problems.
"I think it was a tough one".
José Mourinho's Manchester United fall on famous night at Bristol City
The victor sent Ashton Gate into raptures and holders Manchester United crashing out of the Carabao. Ties to be played over two legs in the weeks commencing January 8 and January 22.