The invention discloses a flexible bending machine. The flexible bending machine comprises a base, a conveying table and two shoulder bases; the conveying table is arranged in the middle of the upperface of the base, the two shoulder bases are symmetrically arranged on the two sides of the conveying table, and can move in the width direction of the base, a supporting frame, a pressing frame and abending frame are arranged on each shoulder base, the supporting frames are fixed to the side faces of the shoulder bases, supporting planes are arranged on the supporting frames, the pressing framescan move up and down relative to the shoulder bases, a pressure application plane is arranged on the lower face of each pressing frame, the pressure application planes correspond to the supporting planes up and down, the bending frames are located on the side edges, back onto the conveying table, of the supporting frames, the bending frames can move up and down relative to the shoulder bases, andcan move in the width direction of the shoulder bases, and bending protruding sides facing the supporting planes are arranged on the bending frames. Plates of different thicknesses, different sizes and different materials can be bent, and the bending size and shape can be flexibly changed.