In this paper, we construct that a new kind of near-ring, that is, (e, t)-near-ring (R, +, *) with given addition in R and new multiplication *which is expressed in terms of the original multiplication and addition by defining a*b to be a polynomial in a and b, from a given near-ring (R, +, .) where e and t are fixed orthogonal idempotents (or central orthogonal idempotents) in R. Next, we will investigate some properties of (e, t)-near-rings.

(e, t)-near-rings, right permutable, LSD, RSD, IFP.