The CMSA Council is responsible for all activities of the CMSA. It is elected at the CMSA Annual General Meeting.
| Year | President | Vice President | Secretary | Treasurer | Other Council Members |
| 2024 | Thomas Britz | John Bamberg | Sara Davies | Daniel Horsley | Jeroen Schillewaert, Rajko Nenadov, Nick Brettell, Jeanette McLeod, Ian Wanless, Anita Liebenau, Florian Lehner, Brendan McKay, Melissa Lee |
The CMSA is governed by these rules. Here are the minutes of the CMSA Annual General Meetings:
Previous CMSA Councils are listed below.
| Year | President | Vice President | Secretary | Treasurer | Other Council Members |
| 2023 | Thomas Britz | John Bamberg | Sara Davies | Daniel Horsley | Michael Albert, Darryn Bryant, Brendan McKay, Jeanette McLeod, Jeroen Schillewaert, Gabriel Verret, Ian Wanless, Binzhou Xia |
| 2022 | Thomas Britz | John Bamberg | Darryn Bryant | Sara Herke | Michael Albert, Daniel Horsley, Dillon Mayhew, Brendan McKay, Jeanette McLeod, Jeroen Schillewaert, Gabriel Verret, Binzhou Xia |
| 2021 | Brendan McKay | John Bamberg | Darryn Bryant | Sara Herke | Michael Albert, Amy Glen, Catherine Greenhill, Anita Liebenau, Jeanette McLeod, Jennifer Seberry, Jamie Simpson, Sanming Zhou |
| 2020 | Jeanette McLeod | Amy Glen | Darryn Bryant | Sara Herke | Michael Albert, Catherine Greenhill, Anita Liebenau, Brendan McKay, Jennifer Seberry, Jamie Simpson, Sanming Zhou |
| 2019 | Jeanette McLeod | Amy Glen | Darryn Bryant | Sara Herke | Michael Albert, Catherine Greenhill, Mikhail Isaev, Anita Liebenau, Brendan McKay, Jennifer Seberry, Jamie Simpson |
| 2018 | Jeanette McLeod | Amy Glen | Darryn Bryant | Sara Herke | Michael Albert, Nick Cavenagh, Catherine Greenhill, Brendan McKay, Jennifer Seberry, Jamie Simpson, Sanming Zhou |
| 2017 | Sanming Zhou | Jeanette McLeod | Darryn Bryant | Ben Smith | Michael Albert, Nick Cavenagh, Amy Glen, Brendan McKay, Jamie Simpson, Ian Wanless, David Wood |
| 2016 | David Wood | Sanming Zhou | Darryn Bryant | Ben Smith | Elizabeth Billington, Benjamin Burton, Amy Glen, Catherine Greenhill, Brendan McKay, Jeanette McLeod, Jamie Simpson, Ian Wanless |
| 2015 | David Wood | Sanming Zhou | Darryn Bryant | Ben Smith | Elizabeth Billington, Amy Glen, Catherine Greenhill, Brendan McKay, Jeanette McLeod, Jamie Simpson, Ian Wanless |
| 2014 | Ian Wanless | Sanming Zhou | Darryn Bryant | Ben Smith | Elizabeth Billington, Amy Glen, Catherine Greenhill, Dillon Mayhew, Brendan McKay, Jamie Simpson, David Wood |
| 2013 | Catherine Greenhill | David Wood | Darryn Bryant | Peter Adams | Robert Aldred, Elizabeth Billington, Nick Cavenagh, Jamie Simpson, Ian Wanless |
| 2012 | Catherine Greenhill | David Wood | Darryn Bryant | Peter Adams | Robert Aldred, Elizabeth Billington, Nick Cavenagh, Charles Little, Brendan McKay, Jamie Simpson, Ian Wanless |
| 2011 | Catherine Greenhill | David Wood | Darryn Bryant | Peter Adams | Robert Aldred, Elizabeth Billington, Charles Little, Brendan McKay, Judy-Anne Osborn, Ian Roberts, Ian Wanless |
| 2010 | Robert Aldred | Catherine Greenhill | Darryn Bryant | Peter Adams | Elizabeth Billington, Charles Little, Kevin McAvaney, Brendan McKay, Ian Roberts, Gordon Royle, Ian Wanless, David Wood |
| 2009 | Ian Wanless | Gordon Royle | Darryn Bryant | Peter Adams | Robert Aldred, Elizabeth Billington, Catherine Greenhill, Charles Little, Kevin McAvaney, Brendan McKay, Ian Roberts |
| 2008 | Ian Wanless | Gordon Royle | Darryn Bryant | Peter Adams | Robert Aldred, Elizabeth Billington, Catherine Greenhill, Kevin McAvaney, Brendan McKay, Ian Roberts |
| 2007 | Ian Wanless | Brendan McKay | Darryn Bryant | Peter Adams | Elizabeth Billington, Paul Bonnington, Catherine Greenhill, Kevin McAvaney, Ian Roberts, Gordon Royle |
| 2006 | Paul Bonnington | Ian Wanless | Darryn Bryant | Peter Adams | Elizabeth Billington, Catherine Greenhill, Kevin McAvaney, Brendan McKay, Ian Roberts |
| 2005 | Paul Bonnington | Ian Wanless | Darryn Bryant | Peter Adams | Lynn Batten, Elizabeth Billington, Kevin McAvaney, Brendan McKay, Ian Roberts, Chris Rodger |
| 2004 | Brendan McKay | Paul Bonnington | Darryn Bryant | Peter Adams | Lynn Batten, Elizabeth Billington, Lou Caccetta, Diane Donovan, Warwick de Launey, Kevin McAvaney, Ian Roberts, Chris Rodger, Jamie Simpson, Nick Wormald |
| 2003 | Nick Wormald | Paul Bonnington | Darryn Bryant | Peter Adams | Asha Baliga, Lynn Batten, Elizabeth Billington, Lou Caccetta, Warwick de Launey, Diane Donovan, Kevin McAvaney, Brendan McKay, Ian Roberts, Chris Rodger, Jamie Simpson |
| 2002 | Nick Wormald | Ingrid Rinmsa-Melchert | Darryn Bryant | Peter Adams | Asha Baliga, Elizabeth Billington, Paul Bonnington, Ljiljana Brankovich, Lou Caccetta, Derek Holton, Kevin McAvaney, Brendan McKay, Mirka Miller, Ian Roberts, Chris Rodger, Jamie Simpson, Martin Sutton |
| 2001 | Derek Holton | Nick Wormald | Helen Gustafson | Ed Dawson | Elizabeth Billington, Paul Bonnington, Lou Caccetta, Kevin McAvaney, Brendan McKay, Ian Roberts, Chris Rodger, Charles Semple, Anne Street |
| 2000 | Derek Holton | Debbie Street | Helen Gustafson | Ed Dawson | Lynn Batten, Elizabeth Billington, Paul Bonnington, Lou Caccetta, Peter Gibbons, Kevin McAvaney, Brendan McKay, Christine O'Keefe, Ian Roberts, Chris Rodger, Anne Street |
| 1999 | Derek Holton | Debbie Street | Helen Gustafson | Ed Dawson | Elizabeth Billington, Paul Bonnington, Lou Caccetta, Peter Gibbons, Kevin McAvaney, Brendan McKay, Ian Roberts, Anne Street |
| 1998 | Anne Street | Paul Bonnington | Helen Gustafson | Ed Dawson | Elizabeth Billington, Lou Caccetta, Peter Gibbons, Kevin McAvaney, Brendan McKay, Ian Roberts, Nick Wormald |
| 1997 | Anne Street | Paul Bonnington | Helen Gustafson | Ed Dawson | Elizabeth Billington, Lou Caccetta, Peter Gibbons, Kevin McAvaney, Brendan McKay, Ian Roberts, Nick Wormald |