The composition of the society’s council is laid down in its constitution. The council for session 166 (2023-2024) is as follows.
| President | Simon Cuthbert (pres@gsocg.org) |
| Vice Presidents | Neil Clark |
| Margaret Donnelly | |
| Honorary Secretary | David Webster (sec@gsocg.org) |
| Treasurer | Ian Veitch (treas@gsocg.org) |
| Membership Secretary | Gary Hoare (memsec@gsocg.org) |
| Meetings Secretary | Ian Millar (meetings@gsocg.org) |
| Excursions Secretary | Lindsay Smith (excursions@gsocg.org) |
| Honorary Archivist | Margaret Anderson (archive@gsocg.org) |
| Publications Officer | Gary Hoare (books@gsocg.org) |
| Librarian | Lindsay Smith (library@gsocg.org) |
| Webmaster | Bill Gray (web@gsocg.org) |
| Ordinary Members | Bobby Alexander |
| Campbell Forrest | |
| John Guerrier | |
| Luisa Hendry | |
| Chair, Strathclyde Geoconservation Group | Margaret Greene (sgg@gsocg.org) |