  The aim of this paper is to define and study Drinfeld twists for monoidal
Hom-bialgebras. We show that a new Hom-bialgebra could be constructed by
changing the coproduct of a monoidal Hom-bialgebra via a Drinfeld twist, and
this construction preserves $R$-matrixes if there exist one. Moreover, their
representation categories are monoidal isomorphic.
