Isaak Krivorukoy was born in 1915 in the town of Pervomaisk (Odessa Oblast), in a Jewish family. Shortly after his birth, the family changed its name to Kruvoruk.
After finishing school, Isaak enrolled in the Odessa Electrotechnical Institute of Communication. After graduating from it in 1937, he was sent to Oryol, to work as chief of the local telegraph.
Following the outbreak of the Soviet-German War in late June 1941, Isaac was sent to the front in the rank of captain.
Isaak Krivoruk served in an anti-tank artillery regiment. During military engagements, he had to maintain communications between the battery commanders and their headquarters. In the course of the war, he was awarded the Order of the Red Star; the Orders of the Patriotic War, 1st and 2nd class, and some medals.
His parents, Lazar and Ida (née Bumazhnaya) Krivoruk, were murdered in occupied Odessa, along with most of the Jews who had remained under Nazi occupation. In May 1945, after the end of the war, Isaak Krivoruk was discharged from the army, whereupon he returned to Oryol and resumed working as chief of the telegraph.
In 1952, Krivoruk moved to the city of Nalchik (Kabardino-Balkaria), and went on to work for many years as chief communications engineer of that republic. Then, after his official retirement, he continued working as an engineer at an electro-vacuum plant.
In 1995, Isaak Krivoruk immigrated to the United States. He died in 1997.