The invention discloses a double-finger double-driving translation clamping type flexible grip and a control method. The double-finger double-driving translation clamping type flexible grip comprises double servo motor systems, double motor end synchronous pulleys, double positioning sliding guide rail systems, double ball screw systems, double screw synchronous pulleys, double finger paws, a U-shaped main rack of the grip and a main rack cover plate, wherein the coordinating fetching action of two paws is realized by the control on two servo motors. A fetching method is characterized in that the double motors are used as power, double fingers are respectively fixedly arranged on two screw guide rail synchronous switching modules, through the rotation of two synchronous toothed belts between the double motor end synchronous pulleys and the ends of the double screw end synchronous pulleys, the rotation of the motor is converted into linear motion by a screw, so that the double fingers are translated respectively along two positioning sliding guide rails, and the translation switching on and off of the double paws along double guide rail surfaces can be realized. Due to the fact that the device is used for independently driving the corresponding paws to move by the double motors, so that the double fingers can more flexibly move, and different fetching speeds can be set for the double fingers, and the position precision is high.