The Club was originally formed in about 1932 or 1933 for the London Hospitals and membership was extended to the University of London about 1935, when permission was obtained from the University for the use of the name. During this period the Club's president was Dr. Benjafield of Bentley fame and the Club was one of the first to organise motor racing on the Donington Park circuit. Our badge dates from this period, having been designed by D W Harvey with the help of "Caput" of the Autocar.

The Club was closed down for the duration of the Second World War and was not revived until 1951, when a new constitution was drawn up by representatives of the major London Colleges and Hospitals. At that time, although the Medical Schools had by then become an integral part of the University, it was decided to retain the name for continuity with the prewar period and because much had been done to publicise the Club's nickname "Yoohoo". The name plus the membership, which is open to staff and graduates of the University as well as students, led to the University's students' union withdrawing recognition of the club. However, given the nature of motor sport, RAC requirements for experienced organisers and the then forthcoming legislation to control rallies (and a feeling of we were here first), the Club chose not to change.

The Club is recognised by the RAC Motor Sports Association and at various times has been affiliated to the LCAMC and the Combined Universities Motor Club and, before the WW2, to the Auto-Cycle Union.