Moshe was son of Abraham and Reli  Bajnerman

He was married to Liba (Zilberdrut) Bajnerman

and their children were:

Sam/ Shmaya Bainerman

Jennie (Sheindel) Speisman

Albert (Ejber) Bainerman

Lillian (Laiche) Bainerman

Chana Sure Bajnerman

Yenta Bajnerman

David Bajnerman