The composition of the society’s council is laid down in its constitution. The council for session 168 (2025-2026) is as follows.
| President | Margaret Greene (pres@gsocg.org) |
| Vice Presidents | Margaret Donnelly |
| Campbell Forrest | |
| Honorary Secretary | Ian Millar (sec@gsocg.org) |
| Treasurer | Ian Veitch (treas@gsocg.org) |
| Ordinary Members | James Campbell |
| Neil Clark | |
| John Guerrier | |
| Aidan Smith | |
| Lindsay Smith | |
| Katie Strang | |
| Keith Torrance | |
| Joan Walsh | |
| David Webster | |
| Luisa Hendry (co-opted) | |
| Iain Neill (SJG editor; co-opted) | |
| Lily Deadman (Junior member; co-opted) |