I. Introduction
Dexterity refers to the ability that terminal tool possibly obtains when the reference point of the robot terminal is a spot in the workspace [1]. By researching dexterity space, the track of robot can be well Planned [2]. But the dexterity can't reflect the clamping capability of robot well [3]. So this article educe parse expression of the needed posture of manipulator hand when clamping random posture object at some clamping point through analyze end posture of manipulator and clamping object posture and relation of both at clamping point when manipulator hand clamping object. According this we bring out conception of clamping dexterity which use for reflect clamping capability of manipulator at this point, take Laparoscopic for example, analyze discrete point clamping dexterity at this machine working space. And confirm agility space use for clamping and we emulate it.