He started learning violin and then studied cello in the Peabody Institute with such teachers as W. Wirts, Willem Willeke or Leo Schulz.
The latter encouraged him further studying in Europe which he did with Julius Klengel, Hugo Becker, Nadia Boulanger and Diran Alexanian; Pablo Casals remained however his most important mentor and they became lifelong friends.
[3] Eisenberg spent the years between 1926-1939 playing and teaching in Europe: In the U.S., he held teaching positions at the Academy of Music (Philadelphia), the University of Southern California as well as at the Cambridge Longy School and, for the ten last years of his life, at the International Summer Courses of Cascais (Portugal).
[3] At the end of his life, Maurice Eisenberg was also teaching at the Juilliard School of Music, and he died in 1972 while giving a course there.
Michael Masters, one of his students, organized the publication of the Eisenberg's annotated version of the Cello Suites (Bach).