Bryan Mbeumo scored Brentford's first goal of the season from the penalty spot
Kane's move from his boyhood club to Bayern Munich was confirmed on Saturday, and goals from Cristian Romero and Emerson Royal earned new Spurs manager Ange Postecoglou a point on Sunday.
Brentford, who began the league campaign without talisman Ivan Toney, had taken the lead through Yoane Wissa after Bryan Mbeumo's penalty cancelled out Romero's opener.
Spurs have now failed to win on their three visits to the Gtech Community Stadium, where kick-off was delayed by six minutes because of a water supply issue.
When play did begin, Argentina defender Romero opened the scoring with a guided header from debutant James Maddison's fierce free-kick.
It proved to be Romero's final contribution as he was replaced by Postecoglou as a precaution after appearing to complain of a knock to the head in the celebration.
The Bees recovered and won a spot-kick when Spurs' new captain Son Heung-min brought down Mathias Jensen for Mbuemo to convert and stretch his goalscoring run to four consecutive top-flight games.
Wissa was then the beneficiary of Rico Henry's blistering surge down the left-hand side before side-footing the cutback past Guglielmo Vicario, via a deflection off the boot of Micky van de Ven, to dampen their debuts.
Royal scored the pick of the goals with a guided finish in the fifth minute of 11 added on at the end of a thrilling first half.
Thomas Frank's side know they will have to make do without key forward Toney until mid-January after he was banned for eight months for breaking Football Association betting rules.
The England forward was the third top goalscorer in the Premier League last season, behind Manchester City's Erling Haaland and Kane, but they are not showing any signs of missing him.
Brentford won four of the five games they played without Toney last season and, in Mbeumo and Wissa, they have two competent forwards at this level.
Mbuemo took his penalty with aplomb as he wrong-footed Guglielmo Vicario, while Wissa diverted the ball over the line, albeit not with the cleanest strike of his career.
If Mbuemo and Wissa are the finishers, Henry is a potent supplier as he showed his blistering pace to torment Royal on several occasions.
As well as cruising on to his own touch past Royal to cut the ball back for Wissa's goal, he also did brilliantly to beat his man and find Mbuemo at the far post, with the striker unable to divert the ball past Vicario from close range.
Goalscoring pedigree is the most important feature of any team, and Kane's departure will have Spurs fans worried.
Kane leaves the Premier League as Tottenham's all-time top scorer with 280 goals in 435 appearances.
He leaves behind big boots to fill but, in the short term at least, Brazil forward Richarlison looks set to try and answer Postecoglou's call for goals.
Unfortunately for Spurs and their fans, Richarlison did very little to ease their concerns as he cut an isolated figure. In a quiet first half, as Spurs dominated with 66% of possession, the forward touched the ball only 16 times.
Romero was the only Spurs outfield player to touch the ball fewer times (10) before being taken off in the 14th minute.
Maddison, whose arrival from Leicester over the summer was a big coup for Spurs, tried to roll the ball through early on but Richarlison was muscled out of the way and unable to cause a threat.
The same combination linked up in the second half, but this time Richarlison snatched at the shot and fired straight at Brentford's £11m summer signing Mark Flekken in goal.
Time will tell if Richarlison is Spurs' permanent answer to Kane.
-- Courtesy of BBC Sport