Tony winner Mike Nichols will direct the production, which will reportedly open in March at the Barrymore Theatre.
The cast will also feature the previously announced Academy Award winner Philip Seymour Hoffman as Willy Loman with Linda Emond as his wife Linda. Garfield is scheduled to play their son Biff.
Scott Rudin will produce the revival.
The New York Times confirmed the casting Aug. 12. Garfield, whose screen credits include "The Social Network" and "Never Let Me Go," won the Milton Shulman Award for Outstanding Newcomer at the 2006 Evening Standard Theatre Awards.
Hoffman last appeared on Broadway as James Tyrone, Jr. in Eugene O'Neill's Long Day's Journey Into Night. He garnered a Tony Award nomination for his work. He has also appeared in revivals of True West and Miss Julie. He earned an Oscar for "Capote," and nominations for "Charlie Wilson's War" and "Doubt."
Nichols' last Broadway outing was the short-lived revival of The Country Girl. He has received nine Tony Awards for works including Spamalot, The Odd Couple and The Real Thing. He earned an Academy Award for "The Graduate."
The most recent Broadway revival of the Tony and Pulitzer Prize-winning Death of a Salesman played the Eugene O'Neill Theatre in 1999 and starred Brian Dennehy, Elizabeth Franz and Kevin Anderson.