In doing so, Kane increased his Premier League tally to 198 goals from just 300 appearances, surpassing a record set by the competition's all-time leading goalscorer Alan Shearer.
Shearer had struck 196 goals in his first 300 games - two fewer than Kane - and that was not the only Premier League record that the England captain had to shout about.
Following Kane's brace, Doherty found the bottom corner of the net before Son took advantage of an error from Marc Guehi to stroke home a fourth in the 72nd minute of the match.
The South Korean, who has forged a successful partnership with Kane over the past couple of years, has now scored alongside the England captain in 34 Premier League games, also a new competition record.
Mohamed Salah and Sadio Mane previously held the record for the duo to score together in the most Premier League games, as Son netted for just the fourth time in a difficult Premier League season.
The 30-year-old admitted after the game that he felt "amazing" but "sorry" for his teammates after failing to hit the same heights of his previous seasons so far this term.