The first elections to Altrincham Council were held on Monday, 1 November 1937. This was a new council to replace Altrincham Urban District Council. This election would create the entire 28-member council (three councillors to each ward and seven aldermen) to administer the municipal borough. Independents won overall control of the council.
Aldermanic elections took place at the council's inaugural meeting on 9 November 1937, all seven of the borough's aldermen were up for election by the council.
By-elections were held in every ward on 4 December 1937 to fill the vacancies created by the Aldermanic election.