The invention discloses a power-assisted steering driving device comprising a shock-proof support, a running driving motor, a steering driving motor, a reduction box and a driving wheel. The shock-proof support comprises an upper bracket, a lower bracket, a driving base, two slide bars, damping springs, an adjusting and driving oil cylinder, an upper spring seat, an adjusting spring and a lower spring seat. The upper bracket and the lower bracket are fixed on a frame, the two slide bars mounted vertically are arranged on the upper bracket symmetrically, and both the upper end and the lower end of each slide bar are sleeved with guide rings. By an elastic adjusting structure composed of the adjusting and driving oil cylinder, the upper spring seat, the adjusting spring and the lower spring seat on the shock-proof support, auxiliary flexible support can be provided for the damping springs, the distance from the adjusting spring and a driving base can be adjusted by driving the adjusting and driving oil cylinder to work, and accordingly shockproof intensity is adjusted; shockproof effect is guaranteed, different shockproof requirements can be met, and accordingly a driving system can work more stably.