Stoschek took charge of Brose Fahrzeugteile in 1971 aged only 23 and grew the company into an international company.
He is married with two children. His daughter Julia Stoschek is an art collector, specializing time-based media art, and runs the Julia Stoschek Collection in Düsseldorf, which opened in 2007, and has two floors of exhibition space, over 2500 m2. He has a son Maximilian Stoschek.
As of November 2015, Forbes estimated his net worth at US$2.4 billion.