Strictly equiprime; jth row strictly equiprime concepts were introduced in Near-rings and obtained that (i) if N is a strictly equiprime near-ring then the matrix near-ring M(n)(N) is the jth row strictly equiprime for 1 less than or equal to j less than or equal to n; (ii) if I is a prime left ideal of a near-ring N then the corresponding ideal I* is a prime left ideal in M(n)(N).