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)