Let f be an adelic Hilbert cusp form of weight k and level n over a totally real number field F. In this paper, we study the sign changes in the Fourier coefficients of f when restricted to square-free integral ideals and integral ideals in “arithmetic progression”. In both cases we obtain qualitative results and in the former case we obtain a quantitative result as well. Our results are general in the sense that we do not impose any restriction to the totally real number field F, the weight k or the level n.