In this paper, it is discussed that the optical beam with a suitable input powe r propagates in the nonlocal nonlinear media,which is governed by the nonlocal nonlinear Schrdinger equation (NNLSE).A new approxiamate linear model for the NNLSE is presented for the strong nonlocal media with the spatially symmetrica l real response functions by use of Taylor expansion. An exact analytical solut ion with the Hermite-Gaussian form is obtained.It is shown that the solution in the Gaussian form is the lowest-order mode.It is found that the anisomer ousty spatial soliton exists in the strong nonlocal media.