Abstract: Up to now matrix method has been extensively used in kinematic calculation of machine hand,walking machine and other open-linkage mechanisms.The method is extremely complicated.Class complex polar vectoroalgorithm proposed in this paper has outstanding advantages in comparision with matrix method:problem description are simple and visual;frequencies of coordinate transformation and numbers of transformed vector are reduced greatly;principle and method of elimination are simple and direct,thus calculating process is far shorter.This paper details the Class complex polar vector algorithm.