In this study, influence of pre-strain on the free vibrational analysis of the circular single-layered graphene sheets (CSLGSs) is investigated using molecular dynamic (MD) simulations. The well-known AIREBO potential is used to simulate the behavior of the honey comb lattice of the CSLGSs. Simply supported edge conditions is considered by fixing a layer of carbon atoms at the edge. The effect of initial actuating velocity taken into account. Variation of pre-strains are considered for the CSLGSs with different initial velocities for imposing the fundamental mode shapes. The results show that the fundamental frequency is slightly rising by increasing the initial velocity. On the other side, by increasing the pre-strain of the CSLGS, the fundamental frequency increases with no respect to the initial velocity.