The concept of soft Γ-hypermodules are generalization of soft hypermodules. In this paper, we prove that when the fuzzy Γ-subhypermodule is normal, then equivalence relation μ* defined on Γ-hypermodules are strongly regular and the additive hyperoperation in quotient Γ- hypermodules (fuzzy subhypermodules) are just operations. Also, we prove that all hyperadditions in the quotient Γ-hypermodule induced by normal Γ-subhypermodule are additions.