He studied with Lorado Taft at the Art Institute of Chicago, with Bela Pratt at the School of the Museum of Fine Arts in Boston and with Charles Grafly at the Pennsylvania Academy of the Fine Arts.
In 1905, he traveled to Berlin to study singing, but he soon decided to become a sculptor. By 1911, he was living in Paris, where he studied with Auguste Rodin and also attended the Académie Julian. He gradually moved from representational sculpture and wood engravings to the machine-like sculptures for which he is best known.
In 1914, Storrs married the novelist and writer Marguerite Deville Chabrol and started dividing his time between France and the United States.
In the 1930s, Storrs turned to abstract painting that often suggested the human figure. During World World War II Storrs was twice arrested and imprisoned by the German occupation forces.
After being released, he returned to his studio in Mer, France, and worked and lived there until his death in 1956.