Hapgood was presented by Michael Codron at the Aldwych Theatre, London, on 8 March 1988.
The cast was as follows:
| Hapgood | Felicity Kendal |
| Blair | Nigel Hawthorne |
| Kerner | Roger Rees |
| Ridley | Iain Glen |
| Wates | Al Matthews |
| Merryweather | Adam Norton |
| Maggs | Roger Gartland |
| Joe | Christopher Price or Andrew Read |
| Russian | Patrick Gordon |
| Directed by Peter Wood | |
| Designed by Carl Toms | |
| Lighting by David Hersey |
Hapgood opened in New York on 11 November 1994 at the Mitzi E. Newhouse Theater.
The cast was as follows:
| Hapgood | Stockard Channing |
| Blair | Josef Sommer |
| Kerner | David Strathairn |
| Ridley | David Lansbury |
| Wates | Clifton Davis |
| Merryweather | Brían F. O’Byrne |
| Maggs | Michael Winther |
| Joe | Yaniv Segal |
| Russian | Boris McGiver |
| Directed by Jack O’Brien | |
| Set design by Bob Crowley | |
| Costume design by Ann Roth | |
| Lighting by Beverly Emmons | |
| Sound by Scott Lehrer |
A revival of Hapgood opened in London on 4 December 2015 at the Hampstead Theatre.
The cast was as follows:
| Hapgood | Lisa Dillon |
| Blair | Tim McMullan |
| Kerner | Alec Newman |
| Ridley | Gerald Kyd |
| Wates | Gary Beadle |
| Merryweather | Edward Hancock |
| Maggs | Nick Blakeley |
| Joe | Adam Cansfield / Sasha Gray |
| Russian | Joe Evans |
| Directed by Howard Davies | |
| Designed by Ashley Martin Davis | |
| Lighting by James Farncombe | |
| Sound by Mike Walker | |
| Composed by Dominic Muldowney | |
| Casting by Juliet Horsely |