Tsitsipas defeated Alexander Richard of Switzerland in four sets with a score of 7:6, 6:3, 5:7, 6:4.
The game lasted 3 hours 34 minutes.
The Greek tennis player converted six break points out of 16. Richard scored four out of 15 break points.
Tsitsipas' next opponent will be Jordan Thompson (Australia).
Wimbledon organizers suspended Russian and Belarusian tennis players from participating in the tournament due to the situation in Ukraine.
The ATP considered Wimbledon's decision to undermine the principles and integrity of the association's ranking system and stripped the UK Open of ranking points for 2022.
The WTA and ITF followed suit.
Berrettini withdrew from Wimbledon after testing positive for coronavirus.