The object of this paper is o propose method for determining the complex zeros of thetranscendental equation f(x)=0 without using derivatives. It is based on the following theo-rem: Assume that f(z) is a p th order entire function. Given two complex numbers x_0 andh,if f(z_1)=0, where |z_1-x>h|, and f(x)≠0 as x≠z_1∧|x-x_0|≤|z_1-x_0|,thenwhere i=(-1)~(1/2), and q is a positive integer.