Let 퐺 be a 5-group of maximal class with major centralizer G 1 = C G (G 2 / G 4) . In this paper, we prove that the irreducible character degrees of a 5-group 퐺 of maximal class are almost determined by the irreducible character degrees of the major centralizer G 1 and show that the set of irreducible character degrees of a 5-group of maximal class is either { 1 , 5 , 5 3 } or { 1 , 5 , ... , 5 k } with k ≥ 1 .