The city ordinance was vetoed earlier by Mayor Michael Bloomberg, who had said the requirement could hurt small businesses, the New York Daily News reported.
The City Council voted to require businesses to provide the paid sick days starting in a year. In 2015, businesses with at least 15 employees would be required to provide the five sick days. The measure also prohibits all businesses from firing workers who miss work for illness, the News said.
After the council approved the paid sick days earlier in the year, the mayor said he hadn't ruled out attempting to block implementing the law via a lawsuit.
CDC: Get your flu vaccine