The latest cases were reported from Dehradun late on Wednesday night, it said.
All of them had a travel history from outside the state, a health department spokesperson said.
Two patients, including a man and a woman, had travelled from Delhi recently while another man had arrived in the state in a taxi from Goregaon in Mumbai, he said.
Fifty COVID-19 patients in Uttarakhand have been discharged after recovery, one has died and the number of active cases stands at 24. ALM TDSTDS