Goals from Yves Bissouma, Cristian Romero and a brace from captain Heung-min Son deservedly earned Tottenham their first win of the season and only their third clean sheet in the calendar year.
In addition to their 3-0 home defeat against Brighton last weekend, Everton, who only made one change, were humbled as Spurs began their season at the Tottenham Hotspur Stadium in style.
Story of the Match
Ange Postecoglou's players came out of the traps with purpose and intent, and Jordan Pickford's goal was under siege from the first whistle.
Romero's half-volley was straight down the throat of the Englishman and James Maddison spurned a glorious chance after beating the offside trap, but Pickford was equal that too.
But, after a plethora of chances in the opening ten minutes, Tottenham opened the scoring through an unlikely source. Following his return from an internal club suspension, Bissouma recorded his first goal in Lilywhite in sumptuous fashion.
Neat footwork from Dejan Kulusevski created a yard of space for the Swede to tee up the Mali international, who connected sweetly to sweep the ball into the top corner off the crossbar.
Bissouma's celebration spoke a thousand words. An apologetic wave of the hand to the Spurs faithful and a grateful bear hug with his manager indicated his remorse following some social media controversy.
The advantage was doubled shortly after and it was a moment to forget for England’s number one. The incessant press of Heung-min Son and a combination of Pickford taking too long to release the ball resulted in disaster for the Toffees' stopper.
The South Korean consistently hounded the Englishman in moments leading up to the incident and Pickford eventually crumbled under the pressure, gifting Son the simple task of rolling the ball into the empty net.
It was an encouraging debut for latest signing Wilson Odobert, who was a surprise inclusion in the starting berth. The Frenchman asked several questions of his Everton counterpart and fellow debutant Roman Dixon.
In the closing stages of the first period, the visitors finally introduced themselves in the contest. A flurry of set pieces resulted in a goal mouth scramble, but Spurs defended bravely to ensure Sean Dyche's team did not get a foothold back into the game.
In the second half, the tempo dropped, with Spurs looking to control possession to avoid a repeat of the situation that occurred on Monday night against Leicester City.
But they reignited the impetus that they started with and eventually made one of their twelve corners count to put the game beyond doubt.
Maddison whipped a delightful delivery into the centre of the six-yard box, which was met by fellow vice captain Romero. His header kissed the crossbar on the way in, leaving Pickford with no chance.
The rout was completed with roughly a quarter of an hour to go and this one was the pick of the bunch.
Spurs broke at frightening pace with Micky van de Ven carrying the ball all of 60 yards from one box to the other. The Dutchman's sheer pace and athleticism transformed defence into attack in an instant.
After the slaloming run, van de Ven still had the presence of mind to find his teammate Son, who doubled his tally with typical potency. It looked as if the 32-year-old had taken the ball too wide, but he still managed to find a gap to round off the scoring from a tight angle.
There was a slight injury concern for Tottenham as full back Destiny Udogie was forced off through injury with a quarter of the match to go.
The Italian was instrumental in Spurs' unprecedented start to a Premier League campaign last year, so Postecoglou will be hoping his early departure was merely precautionary.
Archie Gray and Lucas Bergvall were introduced into the fray in the closing stages of the game for their home debut and they provided that touch of composure to ensure the shutout was obtained.
Four goals, three points and a clean sheet. Afternoon's do not get much better than that for Ange Postecoglou and Tottenham Hotspur.
Player of the Match - Yves Bissouma
It was a big game for Bissouma, having served a club sanctioned suspension for the opening match for filming himself inhaling nitrous oxide, but he showed excellent maturity to put in a starring role.
Recycling possession well and commanding the midfield, a first ever goal for Spurs goal was the icing on the cake in a performance he desperately needed. Consistency from here on in is next on the agenda.