The invention discloses a dynamic load type flexible polishing head and relates to a curve machining tool. The dynamic load type flexible polishing head is provided with a motor, a motor base, a coupling, an upper end cover, a rotating shaft, a bearing, a box body, a lower end cover, a front shaft sleeve, a shaft end connecting head, an elastic sleeve, a locking sleeve and an air bag, wherein the box body is connected below the motor base, the upper end cover is fixed on the box body, the lower end cover is fixed at the lower part of the box body, the front shaft sleeve is connected with the rotating shaft, the shaft end connecting head is connected with the front shaft sleeve, the air bag is fastened on the shaft end connecting head by the elastic sleeve, and the locking sleeve and the shaft end connecting head are joined with each other and clamp the elastic sleeve and the air bag between the locking sleeve and the shaft end connecting head.