This paper develops a new type of flexible finger employing the pneumatic flexible joints base on the modular design concept. In this work, the mathematical model of the grasping force of the flexible finger is derived and analyzed on the relationship between the air pressure and the grasping force. Further the grasping force experiments of finger using dynamometer and acquire the normal pressure of the finger with different combinations ventilation of joints are conducted, Also, the experimental results are compared with the theoretical results, which confirm the validity of the presented model.