He was born in Torino to a Swiss father and a Jewish mother from Piemonte.
After graduating in mechanical engineering from the Università degli Studi di Torino (1913), he moved to Bologna to work for the local branch of Fiat.
In 1923, he established the Fabbrica Italiana Carburatori Weber company, which, under his leadership, became a supplier to Fiat for mass-produced cars, as well as smaller-volume Alfa Romeo and Maserati racing cars.
Three weeks later, early in the morning on May 17, 1945, Weber was picked up by a group of civilians from his factory office at Via del Timavo 18.
In the Certosa di Bologna there is an empty grave with his name written "Edoardo Weber".