The concept of n-valued modal model for multi-value modal logics is introduced in this paper, and the corresponding semantics are constructed. The study points out this kind of semantics and generalizes the semantics for classical modal logics. The definition of 〈W,R〉_n-typed frame is presented, under which the localized mappings induced by modal formulae are constructed, and the concept of localized truth degree for modal formulae is introduced. It is obtained that the localized truth degree for any modal formula can be computed as the one for some modal formula without modalities in the same possible world. Based on these, the concept of global truth degree for modal formulae is introduced. It has been shown that whenever a modal formula contains no modalities, its global truth degree coincides with its truth degree in the common propositional logics.