First released at the 1935 Paris Motor Show, the Delahaye 135 Competition was lower, more rigid and more powerful version of the Type 138 it replaced. Different versions were offered such as, Sport, Coupe des Alpes, Competition, and a short wheel base Competition Court.
After two years of production, the 3,557cc engine found in the competition models were included for the entire range. In 1937, the 135M and 135MS replaced all the models. These would be built after the war before the 165 finally replaced the entire line.