In this paper we study the concept of almost lacunary statistical Cesàro of χ 3 over probabilistic p− metric spaces defined by Musielak Orlicz function. Since the study of convergence in PP-spaces is fundamental to probabilistic functional analysis, we feel that the concept of almost lacunary statistical Cesàro of χ 2 over probabilistic p− metric spaces defined by Musielak in a PP-space would provide a more general framework for the subject.