In this paper, the convergence theorems for fuzzy McShane integrals of fuzzy-valued functions are given. First, we give the equi-integrable convergence theorem. Next, as corollaries of the equi-integrable convergence theorem, we give the uniformly convergent theorem for McShane integrals of fuzzy-valued functions. In addition, by Egorov's Theorem, we obtain the dominated convergence theorem for McShane integrals of fuzzy-valued functions. Finally, as corollaries of the dominated convergence theorem, we give the fuzzy dominated convergence theorem and the monotone convergence theorem for McShane integrals of fuzzy-valued functions.
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