"Tanguy's goal was incredible, the technique he had to flick that ball back over the keeper was truly special," Kane said after the game.
David McGoldrick clawed one back for Sheffield United but it wasn't enough as they slumped to their 16th loss this season.
An attempt to play out from the back went horribly wrong for Sheffield United when Oliver Norwood was easily dispossessed.
Pierre-Emile Hojbjerg played Kane through to the edge of the box and his right-footed shot went straight into the bottom corner on 40 minutes.
McGoldrick pulled one back for the home side on 59 minutes with a fast-paced header into the right corner of Hugo Lloris' goal but Ndombele re-established Spurs' two-goal lead three minutes later with a moment of individual brilliance.
Ndombele received the ball from Steven Bergwijn with his back to the goal and several Sheffield United defenders behind him. Locked in with nowhere to go, he flicked the ball over his head and into the far corner of Ramsdale's goal.
"It's never been the manager saying that [we should sit back] it's been us on the pitch having a mentality where we want to drop and hold on to to the win. The most important thing is us as players to go and take responsibility, and we did that today," Kane added.
"There were a couple of chances I could have done better with, the most important thing is winning games. Anyone who can put a good spell together [is in the the title race], that's why it has been disappointing and frustrating for us dropping points from winning positions."