Prime Minister Narendra Modi will hold a meeting with chief ministers of all the states on Friday to discuss the situation.
No international flights will be allowed to land in India from March 22 for one week, it was decided.
Various state governments have shut down public places like malls, cinemas, gyms and swimming pools. Places of worship have been closed in some cities.
Around 168 trains have been cancelled across the country to restrict movement of people between states.
Congress leader P Chidambaram on Thursday requested the Centre to order an “immediate lockdown” on all towns and cities to check the spread of COVID-19.