The aim of this paper is to generalize the results of Ahmad, Ashraf and Rhoades [1] in the setting of 2 Non Archimedean Menger PM-space introduced by Renu Chugh and Sumitra [2]. In fact, 2 nonArchimedean Menger PM-space (briefly 2 N. A. Menger PM-space ) is the generalization of 2-metric space in probabilistic setting, i.e., the case where instead of the distances between two or more points one knows only the probability of a possible value of this distance and distance is represented by a distribution function.