He studied medicine at the University of Amsterdam.
In 1977 Musaph became Professor of Medicine at the University of Utrecht. He wrote various works on dermatology. Musaph founded the Dutch Society for Sexual Reform and he wrote the "Handbook of Sexology".
The Herman Musaph Foundation for Psychodermatology is named in his honor.
Herman was married to Rosetta Andriesse and had no children.