Subs used: Wanyama (5), Sissoko (n/a), Lamela (n/a). Jordan Pickford will likely start in goal, with Jonjoe Kenny, Phil Jagielka and Cuco Martina all starting in defence and Ashley Williams may replace Mason Holgate in the center of defence.
Man of the match: Heung-Min Son.
Fifth-placed Tottenham moved to 44 points and are level with Liverpool who take on league leaders Manchester City on Sunday.
But with 26 minutes gone, Son timed everything right when Serge Aurier's scuffed shot fizzed across the box and he steered the ball home from close range.
Everton, which had a headed goal by Wayne Rooney disallowed when it was 0-0, hasn't won any of its last five games in the league.
Son's tap-in steadied Tottenham, though Everton continued to press.
The South Korea global was involved again as Kane netted his first of the game two minutes after the restart.
And he now owns a piece of Tottenham history after he helped Spurs put Everton to the sword, his brace taking him past Teddy Sheringham's previous record of 97.
James Ward-Prowse scored his first two goals of the Premier League season for Southampton but that wasn't enough to give the Saints a desperately-needed win as hosts Watford rallied to draw 2-2.
The South Korean was again involved in the fourth, playing through to Alli, who flicked on to Christian Eriksen and the Dane finished in emphatic style. [You have to] play your way back into the game and be professional about it.
It was Kane's 98th goal for Spurs in the Premier League making him the club's all time top scorer in the competition.
Video assistant referees were used for the first time in domestic English football this week but because they still aren't deployed in the Premier League, Doucoure's goal was allowed to stand.
A rumour mill which Spurs chairman Daniel Levy has looked to squash as he made it clear earlier this week that no player the club wants to keep will be sold in the summer - a stance which Pochettino supports, even if the likes of Real Madrid come calling with wads of cash.
"It is unbelievable the way that he is able to work and his willingness".
"He is always thinking "improve, improve, improve and how to score goals and to improve the team" because his mentality is always collective and that is so important to explain to people". I hadn't seen it since I got here.
But it was Son's man-of-the-match performance which secured all three points for Spurs, who were lively and unstoppable from kick off. I saw some good signs of the players last week against Liverpool and I saw some of the worst signs in the second half today which is massively worrying.