He came to the United States to attend Amherst College in Amherst, Massachusetts on a chemistry scholarship. He left Amherst for New York City for vocal studies.
He is survived by his wife, Stefania Bilynska; two daughters, Dzvinka Dobriansky and Roksolana Dobriansky; four sons, Andrij Dobriansky Jr, Danylo Dobriansky, Yaroslaw Dobriansky, and Yurij Dobriansky; and two grandchildren.
His mother was a violinist with Lviv Opera and his sister was a harpist with Estonia Opera.