Kuhn appeared in the Trevor Nunn-directed "Chess", with music by Benny Andersson and Björn Ulvaeus and lyrics by Tim Rice in the 1988 Broadway transfer from the West End, playing one of the main roles (Florence Vassy). Despite the show's success in London, Trevor Nunn decided to rework it for Broadway from a pop/rock opera as staged in London into a more conventional musical theater piece with a new book by Richard Nelson. As a result, the new show was greeted with mostly negative reviews and closed after less than a two-month run, on June 25, 1988. Kuhn's performance in the musical received praise from the critics. "Her beautiful pop-soprano voice is the show's chief pleasure. She acts the sympathetic, gutsy role with spirit and heart", wrote "Variety". The "Village Voice" noted that "she pours a river of feeling and lush vocal tone into...the role". She garnered her second Tony Award nomination, this time as Best Actress in a Musical (1988), and a 1988 Drama Desk Award nomination as Outstanding Actress in a Musical. In addition, The Original Broadway Cast recording of the musical was nominated for a Grammy Award.