| Harambee | ½ - 3½ | South Bristol B | Thu 7th Sep 2023 | 19:30 | Division 4B | Bristol & District Chess League | OU |
| Downend & Fishponds F | 4 - 0 | Harambee | Wed 4th Oct 2023 | 19:30 | Division 4B | Bristol & District Chess League | OU |
| Harambee | 0 - 4 | Portishead | Thu 19th Oct 2023 | 19:30 | Division 4B | Bristol & District Chess League | OU |
| Harambee | 0 - 4 | Bristol & Clifton E | Thu 2nd Nov 2023 | 19:30 | Division 4B | Bristol & District Chess League | OU |
| Harambee | 1½ - 2½ | Bristol Cabot B | Thu 30th Nov 2023 | 19:30 | Division 4B | Bristol & District Chess League | OU |
| South Bristol D | 1½ - 2½ | Harambee | Thu 7th Dec 2023 | 19:30 | Division 4B | Bristol & District Chess League | OU |
| Horfield & Redland D | 3 - 1 | Harambee | Tue 12th Dec 2023 | 19:30 | Division 4B | Bristol & District Chess League | OU |
| Hanham Folk Centre B | 0 - 4 | Harambee | Tue 23rd Jan 2024 | 19:30 | Division 5 | Bristol & District Chess League | OU |
| Harambee | 3 - 1 | Portishead B | Thu 1st Feb 2024 | 19:30 | Division 5 | Bristol & District Chess League | OU |
| South Bristol E | 2 - 2 | Harambee | Thu 22nd Feb 2024 | 19:30 | Division 5 | Bristol & District Chess League | OU |
| Harambee | 1 - 3 | South Bristol D | Thu 29th Feb 2024 | 19:30 | Division 5 | Bristol & District Chess League | OU |
| Bristol & Clifton C | 3 - 1 | Harambee | Tue 12th Mar 2024 | 19:30 | Division 5 | Bristol & District Chess League | OU |
| Harambee | 1 - 3 | Bristol & Clifton D | Thu 18th Apr 2024 | 19:30 | Division 5 | Bristol & District Chess League | OU |
| Bristol & Clifton F | 3 - 1 | Harambee | Tue 23rd Apr 2024 | 19:30 | Division 5 | Bristol & District Chess League | OU |
