Security forces have sealed off the main roads in the valley and erected barriers at several places to check the unwanted movement of the people and to enforce the lockdown, the officials said.
They said only persons with valid passes were allowed to move.
The markets across the valley were shut and public transport was off the roads with only pharmacies and groceries allowed to open, they added.
Educational institutions across Kashmir are closed, while all public places including gymnasiums, parks, clubs and restaurants were shut down more than a week before the nationwide lock down announced by Prime Minister Narendra Modi.
While the Prime Minister announced the country-wide lockdown on the evening of March 24, the union territory administration here had on March 22 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 the essential services including healthcare personnel have been exempted from the restrictions.
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 the detection of the first positive case of coronavirus in the valley.
The total number of positive cases in the union territory has risen to 184 -- out of which 152 were in Kashmir and 32 in Jammu.
While four patients have died in Jammu and Kashmir, six have recovered.
More than 43,000 people have been kept under surveillance including those who are either in government established quarantine facilities or in home isolation. SSB MIJ DVDV