Moshe Hoffman was born in Budapest, Hungary, in 1938 to a religious family. Between 1939 and 1945, he lived in institutions of the Red Cross and in the Jewish ghetto of Budapest. In 1949 he immigrated to Israel with his mother and older brother.
In 1955 Hoffman returned to Jerusalem and began studying at the "New Bezalel". Although he studied in the goldsmithing department, he was influenced by sculpture teachers Michael Gross and Jacob Lev. At that time, he learned the work of preparing the woodcut under his personal guidance with Yaakov Pines.
Hoffman's early work was from his military service, when he created concrete and plaster sculptures. His later sculptural work encompasses ten wooden sculptures, displaying stylized human figures. In Isaac's Tabernacle (1965-1966), for example, the figure of Avraham appears, his hand embraces his son and he holds a knife. Due to economic distress, Hoffman devoted extensive space in his work to woodcuts, of which he created about 350 prints. These works are characterized by high contrast. Their themes included erotic fantasies, family descriptions, landscapes and works relating to the Holocaust.