Harry Kane's 100th Tottenham goal was the catalyst as Mauricio Pochettino's side eased to an impressive 3-0 win at Everton.
Having scored twice for England in Malta during the international break, Kane opened his club account for the season with a 28th-minute cross-shot to complete his century.
Christian Eriksen added a second three minutes before the break, before Kane got his second a little more than 40 seconds after the restart.
The result sees Spurs win for only the second time in 18 meetings between the clubs and Everton, who deployed Wayne Rooney from the off despite his off-field misdemeaours, can have few complaints about the final outcome.
Everton: Pickford (5), Martina (5), Keane (6), Williams (6), Baines (5), Gueye (6), Klaassen (5), Sigurdsson (5), Schnerderlin (5), Ramirez (4), Rooney (6)
Subs: Subs: Calvert-Lewin (5), Davies (5), Vlasic (3)
Tottenham: Lloris (6), Trippier (6), Alderweireld (7), Vertonghen (6), Davies (8), Sanchez (6), Sissoko (6), Dier (6), Eriksen (7), Alli (7), Kane (9)
Subs: Dembele (4), Winks (4), Son (2)
Man of the match: Harry Kane
Ronald Koeman's side began brightly and Sandro Ramirez pulled a shot just wide of the target but that was as good as it got for the hosts as Tottenham grew in stature.
Ben Davies enjoyed a lot of space down the left and moments after he set up Eriksen, only for the Denmark international to miss, he assisted Moussa Sissoko but Ashley Williams was in the right place to block.
There was little Everton could do to prevent Tottenham's opener, although for a while it was debatable as to whether Kane meant to score it or not. What looked at first glance like a cross from the right had dipped late and arced over Jordan Pickford's head into the net.
Davinson Sanchez made his first start for Tottenham after appearing as a substitute against Burnley and he represented the only change from that match, with Heung-Min Son dropping to the bench. Everton made three changes, with Cuco Martina, Morgan Schneiderlin and Davy Klaassen all coming in. Wayne Rooney also started, despite Ronald Koeman's disappointment at his drink-driving charge, with Phil Jagielka, Mason Holgate and Tom Davies losing their places and taking seats in the dugout.
What was certain is the goal had an adverse effect on the hosts - and they soon found themselves 2-0 down, with Eriksen the scorer.
Again, Davies was afforded too much room when Dele Alli's cross was not cleared and the full-back's low shot was only palmed away by Pickford, with Eriksen mopping up to net.
Kane added a third within a minute of the restart, brilliantly executing a Davies cross with a finish which looked casual but required terrific technique.
From there, it was simply a case of seeing out time, with Tottenham rarely troubled and Everton surprisingly lacklustre as they seldom looked like finding a way back into the match.
- It took Kane 169 games to score 100 goals for Spurs; 12 games fewer than Thierry Henry to score 100 for Arsenal (181).
- Kane's first goal ended a run of 25 shots without scoring in the Premier League; his second longest run in the competition.
- Christian Eriksen is now the joint-highest scoring Dane in Premier League history, with 32 goals (level with Nicklas Bendtner).
- Everton are winless in their last 10 Premier League games against Spurs (D5 L5), since a 2-1 win in December 2012.
Man of the match - Harry Kane
Kane admitted after the match he didn't mean his opener but that didn't take away from the convincing display of forward play he provided. Indeed, his second goal was superbly taken and he made it look far easier than it was. With August now behind him, he looks to be flourishing again.
Ronald Koeman: "I hope we take some lessons out of this afternoon. After the lucky first goal we lost domination and we lost control of the game. How we started after half-time was really bad. The second half is something to learn from because there were several situations when I think we were too nice, too weak. You need to be more aggressive."
Mauricio Pochettino: "I'm happy Kane has scored 100 goals for Tottenham. He deserves a lot of praise - congratulations to him. It is an unbelievable mark for him. I think we fully deserved the victory and maybe we had different chances to score more goals but I am so happy as 3-0 is a very good result for us."
Both teams are in European action in midweek, with Tottenham hosting Borussia Dortmund in the Champions League on Wednesday, while Everton are at Italian side Atalanta on Thursday in the Europa League. Spurs are back in Premier League action on September 16 against Swansea at Wembley, with Rooney making his return to Manchester United as Everton go there the following day.