The invention provides a vibration damping structure of a wheeled robot. The vibration damping structure comprises a lower support base, a hinge pin, stabilizing springs, an upper support base, vibration damping ball outer springs, long bolts, vibration damping balls, self-tightening nuts, short bolts, a spring base, a main spring and an auxiliary spring. The vibration damping structure of the wheeled robot, provided by the invention, has the beneficial effects that by virtue of organic combination of the support bodies, the springs and the vibration damping balls, vibration generated in the walking process of the wheeled robot can be absorbed and weakened, the adaptability of the wheeled robot to the rugged ground in the walking process is improved, the possibility of idle operation of wheels is reduced, and thus the movement of the wheeled robot is smoother and freer.