Based on the RMFI conjugate gradient method and the Zhang H.C. non-monotone line search method, a new kind of conjugate gradient methods for solving large scale unconstrained optimization problems is presented. Under mild conditions, the proposed method with the Zhang H.C. line search method converges globally. Numerical results show that the new method is more efficient when compared with the RMFI method with the Zhang H.C. rule. In addition, we extend the Zhang H.C. non-monotone line search method by utilizing the forcing function, and theoretically, we have proved the new conjugate gradient methods' global convergence with the extended model.