Anthony Vasiliou, executive director of the Milford Housing Authority, says the smoking ban will rely on the honor system.
Not only is it healthier to ban smoking, but it also saves the authority money, he said.
"It costs two to six times extra to recondition an apartment after a smoker moves out," he said.
Smokers will be able to go outside and smoke in specific areas, Vasiliou said.
"It's not a free country any more," said Ann Perrelli, a former smoker who underwent triple bypass surgery and lives in one of the authority's 465 units.