
The experienced Croatian, seeded 27, knocked out the Russian 7-5, 7-6(7/3), 3-6, 6-3 in two hours 36 minutes on Margaret Court Arena to book a place in the last 16.
It will be 33-year-old Cilic’s eighth time in the fourth round at the Australian Open, where he was a beaten finalist to Roger Federer in 2018 after overcoming Rafael Nadal in the quarters.
Cilic will face Canada’s ninth seed Felix Auger-Aliassime for a place in the quarterfinals.
“I’ve had a good start to the season, played two weeks of tennis in Adelaide, and I’ve had two good matches here before this one,” Cilic said.
“The conditions in the evening were a bit cooler and allowed me to go more for my shots and I was really lining up a lot of them, especially the returns, it was really going well for me today.
“I’m feeling really excited, I’m playing amazing and just looking forward to the next match, which gets tougher and tougher with the opponents, but I will try to give it my best.”
It was a superb clean-hitting performance from Cilic, the 2014 US Open champion, and he left Rublev shaking his head with some of his 55 winners.
It was Cilic’s second win in six meetings with Rublev, who reached the quarterfinals of last year’s Australian Open.