A shock-absorbing suspension device includes a mounting rod adapted to be mounted on a frame of a wheeled vehicle, a wheel rod adapted to be mounted on a wheel axle to transmit a shock force generated as a result of movement of the vehicle over an uneven road surface, a counteracting member pivotally mounted on the wheel rod, upper and lower linking bars connected to the mounting rod and the counteracting member to form a four-bar linkage mechanism so as to dampen the shock force, and first and second arms pivotally connected to each other and respectively connected to the wheel rod and the mounting rod so as to stabilize movement of the mounting rod in an upright direction.