In this paper we introduce, in studying the approximate space and approximate fibration space, we introduce a new concept, the approximate Serre fibration space (ASFS) by symbol. In addition, we advise new concepts of Mixed approximate Serre fibration space with some results and properties Among the results definition of Proximal Serre Fibrations (P.S.F), proximal homotopy covering properties (PHCP) and definition of the Mixed proximity homotopy covering property (M-PHCP).