The evolution of (1+1)-D breathers in nonlocal nonlinear media is theoretically discussed, and it is modeled by the nonlocal nonlinear Schrdinger equation (NNLSE) which is got from the normalized equations and corresponding Fourier transform. In the balance, the potenfial is approximate to the 2nd order, a fundamental breathers solution is presented, and the solutions of the period and the maximal (minimal) beam width is obtained too. Without approximation, precise solutions of the period and the maximal (minimal) beam widths are also calculated here. Compared with the numerical simulations, it is obviously found that the analytical solutions are suitable in the strongly nonlocal case and the breathers solution in the 2nd approximation is always less accurate than that with no apptoximation.