People boarding buses in the city will have to be screened first, he said, adding that four-wheeler vehicles, including taxis, will be allowed with only two passengers.
Two-wheelers will be permitted but no pillion riders, the chief minister said.
"Construction activities and trucks carrying goods will be allowed in Delhi," he said.
Religious gatherings are barred in the city till May 31, the chief minister said, adding that restaurants can open for home-delivery but dining facilities will not be permitted.
A total of 50 people can attend marriage functions, while 20 people can take part in funerals, Kejriwal said.
On Sunday, the Centre extended the coronavirus-triggered lockdown in the country till May 31 while giving more relaxations.