He was born in Ostrowiec, Congress Poland[2] to a musical family in Łódź where he composed and performed in Yiddish theatres at a young age.

[2] He wrote the music for Julius Adler's operettas Dos Skoytn-meydl and Di mume Gnendil and Yankev Vaksman's Di Sheyne Berta, all of which were staged in Łódź, and arranged the music for S. Ansky's The Dybbuk.

[4] Two well-known Beigelman songs that have survived and are performed to this day are Kinder yorn (the years of childhood) and Tsigaynerlid (Gypsy Song), dedicated to the Romani living in the ghetto.

[4] He wrote songs to lyrics by Isaiah Spiegel including Makh tsu di eygelekh (Close Your Little Eyes) and Nisht keyn rozhinkes, nisht keyn mandlen (No raisins, no almonds).

He also collaborated with Moyshe Nudelman, David Herman, and Yakov Rotbaum.