Abstract: The effect of the two forms of momentum-dependence potential on the directed flow and elliptic flow of neutron, proton, hydrogen isotopes, and charged particles are explored with the ultrarelativistic quantum molecular dynamics(UrQMD) model. The results show that the directed flow is almost insensitive to the momentum-dependence potential for the given incompressibility K_0. But the elliptic flow of the above four particle species are sensitive to the strength and momentum dependence of the momentum- dependence potential, especially at high transverse momentum. The stronger momentum-dependence potential leads to a stronger elliptic flow. By comparing with the ASY-EOS experimental data, the calculation with a stronger momentum-dependence potential is favored.