Each September members elect a Council of 12 members to direct and manage the business of the Society. The Council structure and membership for 2023-24 is:
- President: Richard Reid
- Immediate Past President: Allen Mawer
- Vice President: Esther Davies
- Vice President: Allen Mawer
- Secretary: Nick Swain
- Treasurer: Frances McGee
- Councillor: Peter Dowling
- Councillor: Marilyn Truscott
- Councillor: Tony Corp
- Councillor: Kay Walsh
- Councillor: Gary Kent
- Councillor: VACANT
Two councillors are appointed as delegates to the Federation of Australian Historical Societies committee. Currently they are Esther Davies and Nick Swain.
A number of other volunteers who are not on the council perform essential services to help keep CDHS running.