The object of this paper is to establish common fixed point theorems for four self maps using the concepts of compatible maps, sub-sequential continuous maps, sub-compatible maps, reciprocally continuous maps and conditionally reciprocally continuous maps in a non-Archimedean Menger PM-space. Our results extend and generalize the result of Bouhadjera et. al.  from metric space to N.A. Menger PM-space. We also furnish an example in support of our result.