Iosif Kvasha was born in 1920 in Medzhibozh, Ukraine. Early in July, 1941 he was drafted into the Red Army and immediately sent to the front lines. He was wounded on August 2. After he recovered, he studied at a school for artillery officers. In 1943, with the rank of senior lieutenant, he acted as the commander of a platoon that directed the fire of an artillery division, then as commander of a battery. Finally, at the end of the war, Captain Kvasha was commander of a division. For his military accomplishments on the Leningrad, Briansk, and Belorussian Fronts Kvasha was awarded the Orders of the Red Star, the Patriotic War, 1st class, and the Red Banner.
After the breakup of the Soviet Union, Iosif Kvasha left Russia. He immigrated to the United States, where he lived in Boston.
He died in 2005.