Genay is a commune in the Metropolis of Lyon in Auvergne-Rhône-Alpes region in eastern France. Genay is located about 20 kilometres north …Genay is a commune in the Metropolis of Lyon in Auvergne-Rhône-Alpes region in eastern France. Genay is located about 20 kilometres north of Lyon. Genay was the capital of former Franc-Lyonnais. Genay left the department of Ain to join the department of Rhône in 1968, and became of a member of the Urban Community of Lyon in 1969. On 1 January 2015 Genay left the department of Rhône to join the Metropolis of Lyon.