We describe factor frequencies of the generalized Thue-Morse word tb,m defined for b≥2, m≥1, b,m∈N, as the fixed point starting in 0 of the morphism
φb,m(k)=k(k+1)…(k+b−1),
where k∈{0,1,…,m−1} and where the letters are expressed modulo m. We use the result of Frid [4] and the study of generalized Thue-Morse words by Starosta [6].