A universal flexible clamp for thin-walled parts is mainly composed of a right pressing disc, an axial spring, a supporting ring, an ejection rod, a spring, a supporting fan, a screw, a nut, a spacerring, an ejection ring, a right pressing disc, an adjusting washer, a rotary nut, a supporting shaft and the like. An internal thread is machined on a center hole of the right pressing disc. An external thread is machined at the right end of the supporting shaft, and the right end of the supporting shaft is fixedly connected with the right pressing disc in a threaded mode. The left end of the supporting shaft is sleeved with the left pressing disc. The adjusting washer is mounted between the nut and the left pressing disc. Two radial supporting mechanisms are arranged on the supporting shaft in the axial direction, located between the supporting shaft and the left pressing disc and mainly composed of an internal stop nut, a T-shaped connection groove, a supporting piece, a screw cap, a nut, an upward-pulling spring hanger, a supporting spring, a downward-pulling spring hanger, a groove and the like. The universal flexible clamp is simple in structure and low in production cost, clamping deformation of the parts is reduced, and the production efficiency and quality stability of the thin-walled parts are improved.