The LFS is run by a committee of officers and ordinary members who are elected at the Annual General Meeting. The current (2019-20) members are:
| Chairman | Alan Rowland |
| Vice Chair | Belinda Cox |
| Hon. Secretary | Michael Williams |
| Hon. Treasurer | Roger Chapple |
| Hon. Membership Secretary | Sandra Rowland |
| Ordinary members | Andrew Cleave (2018-2021) |
| André Coutanche (2018-2021) | |
| Chris Dee (2018-2021) | |
| Tom Dickins (2019-2022) Personal webpage | |
| Trevor Dobie (2018-2021) | |
| Jennifer George (2018-2021) | |
| John Hedger (2018-2021) | |
| Keith Hiscock (2018-2021) | |
| Tim Jones (2019-2022) | |
| Chris Pawson (2018-2021) | |
| Frances Stuart (2018-2021) | |
| Chris Webster (2018-2021) | |
| Co-opted (Marine Protected Area Advisory Group) |
Robert Irving (co-opted) |
The LFS also honours the following as presidents of the society:
| President | Diana Keast |
| Vice Presidents | Jennifer George |
| John A Harman | |
| Keith Hiscock |
The constitution may be viewed here.