The invention discloses a gripper transferring gripper mechanism of an offset printing machine,, which can further improveT the accuracy of opening and closing actions of ain gripper transferring gripper and the stability and the reliability of swinging of the whole mechanism can be further improved. The gripper transferring gripper mechanism comprises a paper transferring roller, a paper transferring manipulator, a meshed-gripper opening and closing mechanism and a paper transferring manipulator swinging mechanism, wherein the meshed-gripper opening and closing mechanism comprises a driving gear, a cam, a pair of driving swinging rods, a swinging rod cam, a transition swinging rod, a swinging rod cam, a transition swinging rod and a transmission connecting rod, wherein the driving gear and the cam are is fixedly arranged on a shaft head at the driving side of the paper transferring roller; the cam is used for controlling the opening and closing of meshed grippers; the swinging rod cam is arranged on a cam shaft; one end of the transition swinging rod is arranged on a swinging rod shaft; one end of each driving swinging rod is fixedly arranged on the swinging rod shaft; the two ends of the transmission connecting rod are respectively hinged with the other end of the transition swinging rod and the tail part of the swinging rod cam; and the inner side surface of the head part of the swinging rod cam is provided with an arc groove for embedding an opened and closed gripper ball. The paper transferring manipulator swinging mechanism comprises a transmission gear, a swinging control cam and a pair of transmission swinging rods, wherein the transmission gear is meshed with the driving gear; the swinging control cam is fixedly with the transmission gear on a transmission shaft; one end of each transmission swinging rod is fixedly arranged on a shaft head at the driving side of a paper-transferring main shaft.