He said both the people who died had been admitted at IGMCH.
Eight positive cases have been reported from Kangra, the state's largest district, five from Solan, four from Shimla, and one each from Una and Sirmaur districts.
The official said isolation wards have been set up at medical colleges and district hospitals.
Detection of new cases is being done at the places from where H1N1 cases have been reported, he added.