The 89-year-old victim bought a cup of coffee for his doorman at a corner deli around 2:30 a.m. Wednesday and was crossing a Manhattan street when he was struck by a red Mazda Miata, which then fled the scene, police said.
Stevenson's doorman, Jim Quinn, told WPIX the actor was well-known and liked in the neighborhood.
"He did this every Monday and Tuesday night for me. He'd go and get the coffee and bring it back for me," Quinn said.
Stevenson had roles in the 1977 film "Age of Innocence" and the 1982 movie "Murder by Phone," which starred Richard Chamberlain. He also appeared in several Broadway shows in the 1940s, '50s and '60s, and on live drama programs such as "Studio One" and "Kraft Television Theatre" in the early days of television.
After Stevenson was hit, he was taken to New York Hospital where he was pronounced dead, WPIX said.