Many of the initiatives had been on Mr. de Blasio’s desk for well over a year before he took action, to the consternation of public health and antismoking activists who feared that the city was failing to build on earlier gains.

The proposed initiatives would also set minimum prices and create taxes on other types of tobacco products, like smokeless tobacco and small cigars.

About 12,000 New Yorkers a year die from smoking-related illnesses, officials said.

“What we’re here today talking about is saving lives,” said Dr. Mary T. Bassett, the city’s health commissioner, who appeared with the mayor at a news conference at the Midtown Manhattan offices of the American Heart Association. “We want to make it easier to quit and harder to smoke.”

In 2002, when Mr. Bloomberg took office, 21.5 percent of adult New Yorkers smoked, according to the Health Department. As Mr. Bloomberg banned smoking in bars and restaurants and set a minimum price for cigarettes, the rate fell to 14 percent by 2012, and it has fluctuated since.

“The single most effective way to reduce smoking, especially among kids, is to raise the price,” said Kevin O’Flaherty, a director of advocacy for the Campaign for Tobacco-Free Kids.