Schools and universities will be closed, except for those sitting for international exams, though childcare centres and kindergartens will be allowed to open.
Ganguly said there was no way for the lucrative tournament to resume before India play the final of the World Test Championship against New Zealand in England on June 18.
He said a total of 692 more people were infected with coronavirus in the last 24 hours and with this the total number of corona cases in the province has reached 123,842.