In this paper we study some basic properties of the generalized derivation algebra of a multiplicative Hom–Poisson color algebra. Furthermore, we give the defnitions of the generalized derivations, quasiderivations, center derivations, centroid and quasicentroid derivations of the multiplicative Hom–Poisson color algebra P. In particular, we give some useful properties and connections between these derivations. We also prove that QDer(P) can be embedded as derivations in a larger multiplicative color Hom–Poisson algebra. Finally, we conclude that the derivation of the larger multiplicative color Hom–Poisson algebra has a direct sum decomposition when P is centerless.
