The Council of BSHM is elected at the AGM to serve for the whole of the following calendar year. The Council for 2024 is as follows:

• President: Christopher Hollings
• Immediate Past President: Sarah Hart
• Secretary: Jane Wess
• Treasurer: Simon Gardiner
• Membership Secretary: Tony Mann
• Communications Officer: Dorothy Leddy
• Meetings Co-ordinator: Brigitte Stenhouse
• Education Officer: Ciarán Mac an Bhaird
• Web Administrator: Meg Briers (co-opted)
• Elected (ordinary) Council Members:  Deborah Kent, Clare Moriarty
• Co-opted Council Members:  June Barrow-Green (JMC) 

The Journal Editor for 2024 is Isobel Falconer, who is not a member of Council.