IA&HS has a binding constitution, and holds an Annual General Meeting at which its committee members are elected. The term of office is three years, and all members of the Society are invited in the intermediate AGMs to endorse the continuation of the terms of those elected previously, and to put forward additional officers. The accounts are also open to scrutiny.

The current committee comprises:

President: Rt Hon Lord Smith of Finsbury

Chairman: Andrew Gardner

Vice-Chairman: Mary Cosh

Membership and Events: Catherine Brighty

Treasurer: Philip Anderson

Journal Editor: Christy Lawrance

Acting Secretary: Andrew Gardner

Committee Members: Kathleen Frenchman, Peter Fuller, Michael Harper, Derek Seeley 

Academic Adviser: Lester Hillman

Any member of the Society who would like to contribute a little time, and some considered thought, is welcome to come forward at any time to be co-opted.