The 28,000 square feet property contains a drill hall, garages, offices and mess above ground and has recently has been occupied by the London University Air Squadron, the London University Royal Naval Unit and 46F Squadron Air Training Corps.
There are also several subterranean areas, previously used as part of the former Brompton Road Underground Station, but these have been left largely unused since the end of the Second World War.
There are few relics left other than a large map of London and the MOD is working with the National Archives to ensure the map is recorded.
More top news
Underground workers are due to strike on Wednesday in protest at plans for the new 24-hour 'Night Tube'.
Sue and Alex Tatham are still together after meeting on the show 27 years ago and now have two children.
A healthy retired nurse has ended her life at a Swiss suicide clinic because she did not want to become old.