From 1939 the family lived in Wiener Neustadt, where he now received regular violin lessons from the then director Fritz Heindl.
In 1941, he moved to the University of Music and Performing Arts Vienna, but was dissatisfied with the training there, so in 1943 he came to the Thuringian State Conservatory in Erfurt, where the renowned violin teacher Prof. Walter Hansmann (1875–1963) taught him.
Among his fellow students in Erfurt was the pianist Dieter Zechlin, who accompanied him in 1946 to a trial audition at the Deutsches Nationaltheater und Staatskapelle Weimar, which was then directed by Hermann Abendroth, who immediately engaged Morbitzer as 1st concertmaster.
In 1953, he also founded the string quartet of the Staatsoper Unter den Linden, which was sponsored by the GDR Ministry of Culture [de].
Their son Wolfgang Morbitzer (born 7 February 1965 in Berlin) has been the solo percussionist of the Norddeutsche Philharmonie Rostock since August 1988.