Covid-appropriate behaviour like wearing of masks and maintaining social distancing must be maintained strictly at all places and violators penalised, the order said.
According to the new order, malls are allowed to reopen at 50 per cent capacity and markets will remain closed on weekends.
Giving more relaxations, shops and business establishments have been allowed to open six days a week instead of five.
The former CM also urged the CM to start adventure tourism and ensure vaccination of people associated with the sector among other suggestions.
The Union Health Ministry said a steady decline in daily new COVID-19 cases has been observed since the last 17 days in India.
Cabinet Minister and the state government's spokesman Subodh Uniyal said shops dealing in essential commodities like milk, meat, fish, fruits and vegetables will open daily.
The district magistrates of Dehradun, Haridwar and Udham Singh Nagar are directed to enforce the curfew throughout the district from May 6 to May 10 (till 5 am).