The invention discloses a swing polishing device for complex curved surface polishing machining. The swing polishing device for complex curved surface polishing machining is composed of a motor (01), a swing vibration mechanism (02), a polishing power head (03) and a polishing tool (04), wherein the motor (01) is connected with a body (23) of the swing vibration mechanism (02) through a flange disc (22); the polishing power head (03) is installed on the body (23) of the swing vibration mechanism (02) through four fixing screws; and the polishing tool (04) is connected with the polishing power head (03) through a connection frame (33), and carries out swing motion with the polishing power head (03). The invention discloses a polishing device enabling the polishing tool to swing around the generatrix of the tool or the section line centre of a machined arc, that is, a rotation centre, by virtue of a torsional vibrator, and enabling the tool to rotate at a high speed around the axis of the tool, so that more grinding material particles on the polishing tool are all capable of carrying out equal polishing machining on all points on the machined surface, thus the purposes of improving polishing quality and polishing efficiency for a complex curved surface are achieved.