The administration has asked the people to cooperate with it and warned of action for violating the prohibitory orders.
The authorities at several places have sought help from ‘Imams’ (clerics) to appeal to the people to stay indoors.
The clerics had asked the people to offer prayers at home and avoid the mosques.
While the Prime Minister announced the country-wide lockdown on Tuesday evening, the union territory administration here had on Sunday announced a lockdown across Jammu and Kashmir till 31 March as part of its efforts to curb the spread of the coronavirus.
The administration said people involved in essential services including healthcare personnel have been exempted from the restrictions.
The district administrations have put in place a mechanism to ensure uninterrupted supplies and deliveries of essentials to the general public. Essential commodities will be home-delivered to the residents as part of the mechanism.
Markets across the valley were shut and public transport was off the roads with only pharmacies and groceries allowed to open, the officials said.
Educational institutions across Kashmir have been closed, while all public places including gymnasiums, parks, clubs and restaurants have been shut down more than a week before the nationwide lock down announced by the Prime Minister.
Restrictions were first imposed in many parts of the valley on March 19 to contain the spread of the virus. The measures were taken after a 67-year-old woman from the Khanyar area of the city, who had returned on March 16 from Saudi Arabia after performing Umrah, tested positive for COVID-19.
The total number of positive cases in the valley has gone up to 24 and in the Union territory to 33.
Two patients have recovered from the disease, while two others have succumbed.