Spurs looked set to claim back-to-back Premier League victories for the first time since November thanks to Kane's 25th-minute effort – his 36th league goal against a London rival.
Scott Parker was enraged by the decision to reschedule his team's trip to Tottenham Hotspur Stadium at such short notice, but Fulham stayed in the game and, with Son Heung-min squandering a great chance to wrap things up, got their reward.