As from the age of eight, she studied with celebrated Croatian pianist Svetislav Stančić in Zagreb and played in public at that time.
After her concert diploma, she travelled to Paris in 1936 to study with Alfred Cortot and Yvonne Lefébure.
As from 1938, she studied with Alfredo Casella in Siena and after 1941 with Max von Pauer in South Germany .
Branka Musulin played under the baton of Hans Müller-Kray, Willem Mengelberg, Hermann Abendroth, Franz Konwitschny, Karl Böhm, Georg Solti and Sergiu Celibidache.
In 1958, she became lecturer, later professor at the Hochschule für Musik und Darstellende Kunst in Frankfurt.