Abstract: Aiming at the need for the exploration of Mars in the future,the paper studies the long-term influence of perturbations on orbit around Mars.by computing magnitude,main perturbations are selected. And then mathematical model for them are constructed. Finally,numerical simulation verifies the relevant theoretical analysis. The simulation results show that the influence of non-spherical perturbations on orbit around Mars has obvious characteristics of long period,compared with the earth. This is mainly because the coefficient of the non-spherical gravitational potential harmonic terms of Mars are playing an order of magnitude than the earth due to the different mass distribution. So potential harmonic terms of Mars should be paid more attentions when designing orbit around Mars.