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Let $T$ be a $m$-linear Calder\'{o}n-Zygmund operator of type $\omega$ with$\omega$ being nondecreasing and $\omega \in$ Dini(1) and $[\vec{b},\,T]$ bethe commutator generated by $T$ with symbols $\vec{b}=(b_1,\,\ldots,\,b_m)$belonging to generalized Campanato spaces. We give necessary and sufficientconditions for the boundedness of $[\vec{b},\,T]$ on generalized Morrey spaceswith variable growth condition.

Boundedness of commutators for multilinear Calder\'{o}n-Zygmund operators on Generalized Morrey Spaces