The composition of the society’s council is laid down in its constitution. The council for session 167 (2024-2025) is as follows.
| President | Margaret Greene (pres@gsocg.org) |
| Vice Presidents | Margaret Donnelly |
| Campbell Forrest | |
| Honorary Secretary | David Webster (sec@gsocg.org) |
| Treasurer | Ian Veitch (treas@gsocg.org) |
| Ordinary Members | Bobby Alexander |
| Margaret Anderson | |
| Neil Clark | |
| Simon Cuthbert | |
| Bill Gray | |
| John Guerrier | |
| Luisa Hendry | |
| Ian Millar | |
| Lindsay Smith | |
| Iain Neill (SJG editor; co-opted) | |
| Lily Deadman (Junior member; co-opted) |