The last two cases were recorded on 29 April, bringing the total to 34.
The misty yesterday tested 920 people but it did not release results.
It has so far tested 11 647.
Zimbabwe extended its five-week national lockdown by another two weeks starting today but has relaxed some of the conditions by allowing some businesses to operate.
People are now required to wear face masks whenever they leave their homes.
Public transport is limited to buses.