The two latest cases were detected in Udhamsingh Nagar district, it said.
Both the patients are admitted at an isolation ward of government Hospital, Rudrapur, it said.
This takes the total number of positive cases in the state so far to 57, it said, adding that 36 persons have already recovered.
The number of active cases stands at 21, it said.
The rate of doubling of positive COVID-19 cases stands at 25 days and the percentage of recovery at 63.16 per cent, it said. ALM TDSTDS