Let AT be a prime right near-ring with multiplicative çenter Z, f R R a. generalized derivation a.ssociated with derivation d. The following results are proved; (i) If = 0 theu / = 0. (ü) If /(IV) C Z then N is coınmutative ring, (üi) fÇxy) = f(,x)f(y) or f(xy') = f{y)f(x) {ot ali x,y G N then d = 0.