World No. 5 Tsitsipas received a $ 10,000 fine for unsportsmanlike conduct, the highest joint fine in the tournament to date.
After the match, he apologized for hitting a ball in the stands, which is considered a separate offense in Grand Slam regulations.
Kyrgios, who won the game in four sets on Monday and will face American Brandon Nakashima in the fourth round, was fined $ 4,000 for audible obscenity.
That means the Australian has been fined $ 14,000 so far this tournament, after being penalized for spitting in the direction of a spectator who said he lacked respect during his first-round match against British Paul Jubb.
After Saturday’s fierce competition, Tsitsipas and Kyrgios continued to exchange spikes off the court: the fourth Greek seed described his opponent as “evil” and “bully,” while Kyrgios said Tsitsipas did not he likes “the dressing room.
“I didn’t do anything with Stefanos today that was disrespectful,” he added. “I wasn’t punching him with balls. Coming here and saying I intimidated him, that’s soft.”
Kyrgios has generated controversy over his behavior on the court throughout his career, but at this year’s Wimbledon he has also played some of his best tennis, especially when he beat Filip Krajinovic in just one hour and 25 minutes in the second round.
The 27-year-old has reached the quarter-finals of a Grand Slam on two previous occasions, a record he could match by beating Nakashima when the pair are on the center court.