The invention relates to a flexible parabola-shaped abnormal plate spring framework joint, and belongs to the technical field of application of robots and mechanical arms. According to the joint, an abnormal plate spring is used as a framework, the joint is bent through the drive of fluid, and the joint can be used as various joints of a robot. When an elastic corrugated pipe is inflated, the elastic corrugated pipe extends and is restrained by the plate spring to be bent towards one side of the plate spring. When gas in the elastic corrugated pipe is released, the joint is restored to be in an extension state under the effect of the plate spring. The pressure in the elastic corrugated pipe is controlled to enable the joint to be bent and to be kept at a certain angle. The elastic corrugated pipe has good flexibility, the plate spring has good elasticity, and therefore the joint has good flexibility. Through the improvement of the cross section of the plate spring, the bending space can be increased, the strength demand can be met, the flexibility is improved, and plate spring materials are saved. The flexible parabola-shaped abnormal plate spring framework joint is flexible in bending action, small in energy consumption, convenient to control and has a good flexible adaptability effect.