MA MB BChir Camb 1940; MRCP 1948; MRCS LRCP 1939.
Greenberg studied medicine at Cambridge and St Bartholomew's and was senior house physician at St Bartholomew's. He was consultant chest physician at the Manchester Chest Clinic from 1950 until 1956 when he was appointed consultant chest physician at Cambridge Chest Clinic, Papworth Hospital, and at United Cambridge Hospitals. Greenberg was a member of the Thoracic Society, an honorary member of the North West Tuberculosis Society and treasurer of the British Tuberculosis Society.