Born in Kew, a suburb of Melbourne, Australia in 1885, Brodzky began training at the National Gallery Schools in Melbourne, and at City and Guilds, London. He was part of the British representation at the 1912 Venice Biennale. Brodzky chiefly used painting, drawing and printmaking in his work, and it is with the latter that he probably most excelled. He met the sculptor Henri Gaudier-Brzeska in 1912, and the pair became great friends. Brodzky wrote a biography of Gaudier-Brzeska in 1930.From 1948 until 1962 Brodzky was art editor of the Antique Dealer and Collector's Guide. He died in 1969 in London.