The Council of BSHM is elected at the AGM in October to serve for the whole of the following calendar year. The Council for 2022 is as follows:
- President: Sarah Hart
- Secretary: Fenny Smith
- Treasurer: Simon Gardiner
- Membership Secretary: Ken Lord
- Meetings Co-ordinator: Isobel Falconer
- Education Officer: (from 2022-03-01) Ciarán Mac an Bhaird (previously Snezana Lawrence)
- Communications & New Members: Dorothy Leddy
- Web Admin: Troy Astarte
- Elected (ordinary) Council Members: Brigitte Stenhouse, Snezana Lawrence.
- Co-opted Council Members: June Barrow-Green.
The Journal Editor for 2022 is Benjamin Wardhaugh, who is not a member of Council.