| ACT 1 |
| Song List | | Sung By |
| The Story of Chess | | Gregor Vassey |
| Press Conference | | Freddie, Florence and Reporters |
| Where I Want to Be | | Anatoly and Reporters |
| How Many Women | | Florence and Freddie |
| Merchandisers Song | | Walter and Merchandisers |
| U.S. Versus U.S.S.R. | | Molokov and American & Soviet Delegates |
| Chess Hymn | | Arbiter and Company |
| Quartet (A Model of Decorum & Tranquility) | | Molokov, Florence, Arbiter and Anatoly |
| You Want to Lose Your Only Friend? | | Florence and Freddie |
| Someone Else's Story | | Florence |
| One Night in Bangkok | | Freddie and Company |
| Terrace Duet | | Florence and Anatoly |
| So You Got What You Want | | Freddie and Florence |
| Nobody's Side | | Florence |
| Anthem | | Anatoly |
| ACT 2 |
| Song List | | Sung By |
| Arbiter's Song | | Arbiter and Company |
| Hungarian Folk Song | | Company |
| Heaven Help My Heart | | Florence |
| No Contest | | Freddie and Walter |
| You and I | | Anatoly, Florence and Svetlana |
| A Whole New Board Game | | Freddie |
| Let's Work Together | | Walter and Molokov |
| I Know Him So Well | | Florence and Svetlana |
| Pity the Child | | Freddie |
| Lullaby (Apukad Eros Kezen) | | Gregor Vassey and Florence |
| Lullaby (Apukad Eros Kezen) | | Anatoly, Freddie and Company |
| You and I (Reprise) | | Anatoly and Florence |
| Anthem (Reprise) | | Florence |