The two, who had been hospitalised in Famagusta hospital have tested negative, the Cyprus News Agency reported.
The rest of the patients display mild symptoms apart from a 70-year-old man who has underlying medical issues.
A second test will be conducted on the two and if that too comes out negative, they will be allowed to return home.
Four other patients with Covid-19 are expected to be transferred to Famagusta hospital during the day.
Two other cases were transferred there on Wednesday night.
They concern a woman who had been isolated at home but her condition worsened and a man who was being treated at Nicosia general hospital.
Source: Cyprus Mail