Spurs went into the season as perceived title challengers despite a lack of activity in the transfer market, and got off to a good start when they won 2-0 at Newcastle United last weekend.
Spurs did create their fair share of chances and, on another day, could have emerged victorious.
Dele Alli's foul on David Luiz just outside the area presented a flawless angle for the left-footed Marcos Alonso, and Alonso did not disappoint, flighting the ball just over the head of Toby Alderweireld and curling past the diving Lloris to give Chelsea a lead that they just about deserved.
After clawing their way back into the game with a late equaliser, Spurs made two uncharacteristic errors in defence while pressing for the victor.
After another poor result at Wembley, the supposed hoodoo talk will remain for a little longer, but it will need to be put to bed soon.
"It is nothing to do with the stadium", Spurs defender Ben Davies insisted after the game. Dele Alli committed a silly foul near the Tottenham area.
That was how the match ended as Conte's side win their first game of the season having lost 3 - 2 to Burnley in their first game of the season.
Tottenham were winning a number of corners, although failing to do much with them, as Chelsea defended resolutely. Instead, with 11 men, Spurs piled on the pressure in the second half and after a series of soft free kicks awarded in their favour, they drew level via an own goal from Michy Batshuayi.
With the hosts struggling to carve out the Chelsea defence, Mauricio Pochettino introduced Son Heung-Min for Eric Dier in the 67th minute. Yet, it was the worst possible entrance for Chelsea's young Belgian striker as he poked the ball into his own net eight minutes from time, following a wicked Christian Eriksen delivery: 1-1.
Willian embarked on a fine run and played in Morata, but his effort was deflected wide after Tottenham's centre-backs managed to crowd him out.
He praised his players' efforts, however.
Jose Mourinho paid with his job before Christmas in 2015 as a squad in turmoil hovered improbably over the relegation zone but Antonio Conte's side allayed doubts over a similar implosion as they turned in a performance of grit and togetherness at the national stadium.
Eriksen delivered a teasing cross from a free kick on the left and Batshuayi got his header all wrong and diverted past Courtois.
This was a gutsy and resilient display from the Premier League Champions, complete with two moments of quality from Marcos Alonso. After Victor Wanyama was robbed of possession, substitute Pedro slipped in the rampaging Alonso, who drilled beyond Lloris.
Antonio Conte surprised many with his initial team selection.
Morata had few more opportunities to show his undoubted class and looked out on his feet when he was replaced by Batshuayi.
FW Vincent Janssen, N/R - A last throw of the dice as an injury time replacement.