Due to the low damping characteristic of the superconducting electrodynamic suspension (EDS) system which may cause suspension instability problem, a six degree-of-freedom dynamic model for the high speed maglev sled system is established, and it is found that its suspension damping would become negative when the traveling speed exceeds 23.6 m/s, resulting in suspension instability to the maglev sled. The vertical damping ratio of the EDS system is calculated using the least square fitting method, and the relationship between the vertical damping and the speed is then obtained. To stablilize the suspension system, a distributed dynamic vibration absorbers (DVA) scheme is proposed, and the effects of the DVA parameters on the suspension stability are investigated; to minimize the influence of the DVA scheme on the acceleration performance of the maglev sled, the feasibility of applying low mass (≤ 1kg) DVAs to the maglev sled is disccussed; further, the vibration suppression effect of this scheme is investigated considering the vertical misalignments of guideway girders, which shows that the proposed scheme can significantly increase the damping and stability of the suspension system, and it also well suppresses the vibration of the sled-body caused by misalignments of the ground suspension coils. This scheme provides a useful reference for the design of the suspension system of the maglev sled system, the vaccum tube high speed maglev train, etc.