He was the grand-nephew of Hemrich Finck, the noted German contrapuntist. He studied at the University of Wittenberg in 1545 and became organist there in 1557. He was born at Pirna, Saxony. The few works that Finck left show him to have been an able and talented musician, considerably in advance of his time. He published a book on the theory of music, entitled Practica Musica, which is considered a valuable work. It is in five books and was published in 1556 and is now in the British Museum. One of Finck's chorals, O Let Thy Grace Remain, is still sung in many of the German Protestant churches.