The form will cease to be a requirement for those entering the country from 15 March, breaking down another barrier to travel before Easter and the summer season.
It is the latest significant development in efforts across Europe to ease travel restrictions.
Greek tourism minister Vassilis Kikilias confirmed the decision on Thursday (3 March).
In addition, starting on Saturday (5 March), face coverings will no longer be required in outdoor spaces in Greece.
The Foreign Office acknowledged the impending changes in an update to its travel advice for Greece on Friday.