In this paper we introduce the notion of P-strongly regular near-ring. We have shown that a zero-symmetric near-ring N is P-strongly regular if and only if N is P-regular and P is a completely semiprime ideal. We have also shown that in a P-strongly regular near-ring N, the following holds: (i) + P is an ideal of N for any . (ii) Every P-prime ideal of N containing P is maximal. (iii) Every ideal I of N fulfills I + P = + P.