The current developed micro-grippers are not effectively used in micro-assembly within the scale of 0.01-10mm due to some practical problems. In this paper, we present a novel integrated micro-gripping system. In this system, the vac-sorb gripper and the micro-gripper based on a linear motion stage are employed together to stably pick up miniature mechanical structures in different shapes and dimensions. The gripping force is detected in real time and used as a feedback to control the action of the system. The design of the system and the implementation of the feedback mechanism are described in details. Experiments are taken and analyzed and the results show the designed functionality of the system.