Thomas Tuchel and Antonio Conte had a row after Tottenham’s first equaliser, and were both issued a yellow card.
Chelsea would then score a late goal from Reece James before Harry Kane equalised in the 96th minute.
After the full-time whistle, the two managers shook hands and then had another go at each other, which prompted referee Anthony Taylor to issue a red card to both managers.
Reacting to the incident, Harry Kane told Sky Sports: “Obviously I’ve seen everyone gathering a the end, obviously disappointed to see the red card but I didn’t see what happened.
“Obviously an emotional game, London derby, passion from both sides, both teams wanted to win.
“Disappointed but that’s just what happens sometimes in these games.”