After some years as cantor at the city church in Mülheim an der Ruhr, he worked as a teacher for organ and theory at different schools of church music, among others more than 25 years at the Katholische Hochschule für Kirchenmusik St. Gregorius [de] in Aachen and last at the Robert Schumann Hochschule Düsseldorf.
Weber, meanwhile appointed Kirchenmusikdirektor of Mülheim, was regarded as an outstanding interpreter, especially of French organ music, and gained an excellent reputation as an improviser.
His numerous organ compositions are oriented towards Paul Hindemith, whom he greatly admired, and towards the new French school, and represent a tonal language that clearly emancipates itself from late romanticism [de].
Furthermore, Weber contributed to the organ book for the Roman Catholic Archdiocese of Cologne.
His organ compositions were only partially published, however, and are preserved in the musicological institute of the University of Cologne.