After studying at the Academy of Art in Bordeaux, Bissière went to Paris in 1910. He then worked as a journalist for the next four years. He lived in North Africa from 1911-1918 and met Braque in 1921. During this time he studied Cubist works. He published articles on Ingres, Seurat and Corot in 'Esprit Nouveau'. From 1925 to 1938 he taught at the Académie Ranson, where his pupils included Manessier, Le Moal, Bertholle and Vieira da Silva. Bissière played an important part in the development of the Ecole de Paris after 1945.