The deceased person was previously cared for in the intensive care unit at Visby laser.
"Of course our thoughts go to the relatives," says infection control physician Maria Amér in a statement.
Gotland has not had any new cases of covid-19 since April 6. At present, no one is cared for in hospitals.
So far, 15 cases of covid-19 have been found on the island since March 2020.