Boris Kriukow was born on January 19, 1895 in Orhiyiv, Bessarabia. The name was russified from "Krukiv". His father was an official in the court of justice of that town. After finishing the Kyiv Art School in 1918, he concentrated on graphic art. In the interwar period he illustrated over 500 books, among them works by Shevchenko, Franko, Dickens, Antonenko-Davydovych, etc., as well as books for children by N. Zabila, L. Pervomaysky, and others. He was recognized as one of the best graphic artists in Ukraine. During World War Two, 1943, he moved to Lviv, where he took part in an exhibition, one of his paintings being called by art critics "the jewel" of that exhibition. From 1944 to 1948 he lived in Austria, and painted under the pseudonym of Ivan Usatenko, taking part in art exhibitions in Salzburg, Innsbruck, etc. In 1948, he emigrated to Argentina and settled in Buenos Aires, where he held personal exhibitions in the most renowned art galleries, such as Müller, Van Riel, and Whitcomb, almost yearly. His oil paintings were also exhibited in Canada, and USA. At the same time, he worked as a book illustrator for both Argentine and Ukrainian publishing houses. 1950–1960 he illustrated up to 80 Ukrainian books for Mykola Denysiuk publishers, Buenos Aires. He cooperated, too, with the Julian Serediakpublishing firm, editors of the "Mitla" humor magazine, where his own book, Smikholina was published. From 1950 until his death, he was the only illustrator of the great series "The Unforgettable Classics" of the famous "Ateneo" publishing firm:
Also for "Atlántida", he executed colorful paintings of animals and the like, for smaller children. After his death in 1967, the well known Ukrainian writer and poet Igor Kaczurowskyj was inspired by some twenty pictures Kriukow had made, in his spare time, on the subject of the old Ukrainian tale about the cat "Mister Kotsky", to write a long poem for children, which, many years later was to be published in Ukraine, illustrated by these same pictures from the artist's heritage. In 1965, he was invited to exhibit in Buenos Aires Town Hall, after having received two important rewards: 1964, for his drawing Don Quixote, presented at an international art competition of the "Codex" publishing house, Madrid, and for his drawing Don Segundo Sombra, from "Codex Argentina". He is the author of a large oil picture of Cardinal Josyf Slipy, and of the Argentine heroes José de San Martín, and Admiral Guillermo Brown, Munich, and Bad Aibling. In 1970, a monograph about him in Ukrainian, Spanish, and English was published.