The invention belongs to the field of forging devices, particularly relates to a flexible clamping jaw for continuous high-temperature forging. The flexible clamping jaw for continuous high-temperature forging comprises an installation flange, an installation frame, a clamping jaw oil cylinder, clamping jaw bodies and a flexible mechanism. The installation flange and the installation frame achieveflexible connection or rigid connection through the flexible mechanism. When flexible connection is conducted, the clamping jaw bodies can move and rotate along the z axis and rotate along the x axisand the y axis. The clamping jaw oil cylinder is installed on the installation frame. A piston rod of the clamping jaw oil cylinder is rotationally connected with the clamping jaw bodies through a connection rod mechanism. The clamping jaw bodies are hinged to the installation frame. Cooling water channels are arranged on the clamping jaw bodies. The overall flexible clamping jaw can achieve switch between flexibility and rigidity, avoids direct influence of a vibration environment on a robot and an end executor, improves the stability of the end executor and the robot and prolongs the service lives of the end executor and the robot; the position of the clamping jaw can be accurately located; the cooling water circularly flows to cool the clamping jaw, the forging clamping jaw is kept ata low temperature, and continuous work of the clamping jaw is guaranteed.