The utility model relates to a flexible fixture of a link lever, which is provided with a mother plate, wherein a support cylinder and corner grip cylinders are installed on the mother plate, and two replaceable daughter plates are also installed on the mother plate through bolts; a two-point-form expansion pin, a three-point-from expansion pin and a support base plate are installed on each daughter plate, and a large head hole and a small head hole of the link lever are correspondingly installed in the three-point-form expansion pin and the two-point-form expansion pin to be positioned; and the support cylinder is arranged at the lower part of the daughter plate, the corner grip cylinders are arranged at two sides of the daughter plate, and the link lever is supported and clamped through pressing plates on the support cylinder and the corner grip cylinders. When being replaced by a new product, only the daughter plate needs to be replaced, and the mother plate, the support cylinder, the corner grip cylinders do not need to be replaced. According to the flexible fixture, the structure is reasonable, the installation is simple, the replacement is convenient, the operation is fast and time-saving, the production efficiency is high, the application range is wide, and the using cost of the fixture is lowered.