Born in Leningrad, Kuzminsky emigrated from the Soviet Union in 1978. He published "The Blue Lagoon Anthology of Modern Russian Poetry". Other publications include a collection of Russian poetry “The Living Mirror”. He appeared in several documentary films, among them two by Andrei Zagdansky: Vasya, a portrait of a close friend and Russian/Sovietnonconformist artist Vasily Sitnikov and Konstantin and Mouse a.k.a. "Kostya and Mouse", a double-portrait of Konstantin Kuzminsky and his wife Emma, nicknamed Mouse.
Kuzminsky died in the United States on 2 May 2015.
Kuzminsky and American performance poet Hedwig Gorski in Austin, Texas, 1979.