The meeting lasted 1 hour 55 minutes, and ended with a score of 6: 1, 4: 6, 7: 6 in favor of the Greek tennis player.
Thus, Rublev, who suffered a second defeat in the tournament, lost his chances of reaching the playoffs of the competition.
In the final match of the group stage, Rublev will play with Austrian Dominik Tim, and Tsitsipas - Spaniard Rafael Nadal.
Both matches will take place on November 19.
Earlier it was reported that Nadal lost to Tim in the ATP Final tournament.