The move follows Governor John Bel Edwards' order to close bars and limit restaurants to carryout and delivery. Grocery stores, health facilities and pharmacies will remain open.
Eight meal-distribution sites were up and running Monday with several more expected to open throughout the week.
The office said that low-level arrests have continued in spite of coronavirus threat.
Visitors to City Hall to be screened for fevers. Some city employees can work from home.
New Orleans officials are working on opening drive-through testing centers and announced the closure of libraries as coronavirus cases grow in the city.
The suspension will last until April 24.
Cantrell committed to providing meeting notices and live video feeds of meetings if the laws are suspended.
Gov. Edwards and Mayor Cantrell respond to the COVID-19 crisis. Michael Isaac Stein discusses economic and labor impacts. Bob Marshall looks at the Coastal Master Plan.
Schools will close starting Monday and remain closed until April 13.
"Jamming 1.5 million humans into the same party space that struggled to accommodate half a million in 1970 is, put simply, unsafe."