  The aim of this paper is to introduce Hom-Novikov color algebras and give
some constructions of Hom-Novikov color algebras from a given one and a (weak)
morphism. Other interesting constructions using averaging operators, centroids,
derivations and tensor product are given. We also proved that any Hom-Novikov
color algebra is Hom-Lie admissible. Moreover, we introduce Hom-quadratic
Hom-Novikov color algebras and provide some properties by twisting. It is also
shown that the Hom-Lie color algebra associated to a given quadratic
Hom-Novikov color algebra is also quadratic.
