In this paper, the new concepts normal product of two multi-valued mappings, \(s\)-weakly compatible, \(s\)-common fixed point and the (EAs) property for two pairs of multi-valued mappings are introduced, and the \(s\)-common fixed point existence theorems for two pairs of multi-valued noncompatible mappings under strict contractive condition are proved. without appeal to continuity of any map involved there in and completeness of underlying space. The results presented in this paper generalize, improve, and unify some recent results in this field.