Spurs leapfrog Aston Villa into eighth place, narrowing the gap to Liverpool to just one point.
Fulham dominated the ball, and had more shots, but were unable to capitalise on their pressure.
Here's how the players rated.
✔️ GOOD PERFORMANCE
Son Heung-Min: 6.6
The winger didn't have his best game in a Tottenham shirt, but he contributed with an assist for the eventual winning goal, an own goal scored by Tosin Adarabioyo.
He created two big chances, completed one dribble, took two shots, and was fouled three times.
Son showed that even when the team and himself doesn't play well, he can still contribute meaningfully.
✖ BAD PERFORMANCE
Gareth Bale: 5.9
The Welshman looked back to his brilliant best against Burnley at the weekend, but it wasn't his best display tonight.
He was booked, didn't create a big chance and was replaced after 67 minutes.
He did take two shots and complete three dribbles, but his end product wasn't up to scratch.
⭐ STAR MAN
Joachim Andersen: 7.3
Although he ended up on the losing side, Andersen was excellent once again, and was unlucky to not take home three points.
He won both of his aerial duels, made three interceptions and nine recoveries, and had a game high 110 touches.
His passing was terrific, 86% accuracy, and he completed 19 long balls, a key feature of Fulham's play.
He deserved a clean sheet.