NEW YORK — Martin Richards, the Tony Award-winning producer of such Broadway hits as “On the Twentieth Century,” “Sweeney Todd” and “The Will Rogers Follies,” as well as an Academy Award-winning producer of “Chicago,” has died after battling cancer, his publicist said Tuesday. He was 80.

Publicist Judy Jacksina said Richards died Monday. The marquees of Broadway theaters were dimmed in his memory Tuesday night at 7. Richards’ shows won 36 Tonys during his five decades of producing plays.

“The popularity of his shows has brought many generations to Broadway. He was an admirer of talent, and we were an admirer of his,” Charlotte St. Martin, the executive director of The Broadway League, said.

His other Broadway productions include “Crimes of the Heart,” the original and 2004 revival of “La Cage Aux Folles,” “The Norman Conquests,” “Grand Hotel” and “The Life.”

In addition to his stage work, Richards was the producer of the original “Chicago” on Broadway and went on to win an Oscar for the film version in 2003. His other films include “The Shining,” “The Boys From Brazil” and “Fort Apache, The Bronx.”