The Spurs forward controlled Son Heung-min’s pass, turned away from Tim Ream and curled into the bottom corner.
It was Kane’s 266th goal for Tottenham and put him level with Jimmy Greaves, whose tally has stood since 1970.
The England captain had endured a frustrating first half, touching the ball only four times by the half-hour mark at Craven Cottage.
A 30-yard effort over the crossbar soon after signalled his intentions before he joined Greaves on 266 in the first minute of stoppage time.
His record-equalling strike was met with tongue-in-cheek chants of ‘one-season wonder’ from the away fans.