We study the propagation of (1+1)-dimensional spatial soliton in a nonlocal Kerr-type medium with weak non-locality. First, we show that an equation for describing the soliton propagation in weak nonlocality is a nonlinearSchr[o]dinger equation with perturbation terms. Then, an approximate analytical solution of the equation is found bythe perturbation method. We also find some interesting properties of the intensity profiles of the soliton.