The son of a fisherman, Jujiro Matsuda was born in Hiroshima. He was apprenticed to a blacksmith in Osaka at the age of fourteen and invented the "Matsuda-type pump" in 1906. Later, he took over management of the foundry at which he apprenticed and changed the name of the organization to "Matsuda Pump Partnership". He was forced out of his company, but started an armament manufacturer soon after – the eponymously named Matsuda Works. Matsuda would see his fledgling company's fortunes improve when it was commissioned as a supplier to the Tsar of Russia as well as manufacturing the Type 99 rifle for the Japanese military.
By 1921, Jujiro Matsuda was a wealthy man thanks to his previous business ventures. He moved back to Hiroshima when he was asked to take over management of floundering artificial cork manufacturer Toyo Cork Kogyo Co., Ltd., which was placed into receivership by its creditors when the market for artificial cork dried up following the end of World War I. The unprofitable cork business ceased, and Matsuda focused on tool manufacturing. 1931 oversaw the introduction of the "Mazdago" motorized tricycle, manufactured in what is now Fuchū city and the company, now known as Toyo Kogyo Co., Ltd., would set its focus on motor vehicle manufacturing. The Toyo Kogyo headquarters saw heavy damage on August 6, 1945 upon the bombing of Hiroshima. The Fuchū city plant, located over 5 kilometers from the epicenter of the nuclear explosion was left relatively unscathed, and Matsuda offered its use for the Hiroshima bureau of NHK. Matsuda was not accused of being nor was he charged as a war conspirator, and a revitalized Toyo Kogyo was the main force behind repairing the damaged economy of Hiroshima following World War II. In 1950, Toyo Kogyo provided startup for a baseball team, the Hiroshima Carp. His adopted son-in-law, Tsuneji Matsuda succeeded him as president of Toyo Kogyo, and oversaw the expansion of its automobile division until 1979, when Ford Motor Company took a 25% equity stake in Toyo Kogyo. The alliance with Ford led to the divestiture of shares from the Matsuda family and the change of Toyo Kogyo into Mazda Motor Corporation in 1984. The Matsuda family still owns a controlling interest in the Hiroshima Toyo Carp. Matsuda died on March 27, 1952. For his contributions to Hiroshima Prefecture, a bronze statue of Jujiro Matsuda was created in 1965 by Onomichi, Hiroshima native, sculptor Katsuzou Entsuba and was erected at the Hijiyama Park in Minami-ku, Hiroshima.