Abstract: The curve fitting of kinematic trajectories of fingertip and finger joints was designed and obtained on the basis of LabVIEW software, which is convenient, economical and applicable. The finger's photos of kinematic trajectory were taken by CCD camera and acquired on computer. Then, the position coordinates of fingertip and finger joints can all be detected and recorded by image processing. With the curve fitting technique in the software LabVIEW used to get the kinematic trajectory of fingertip and relevant finger joints, a conclusion is drawn that the fitting of 3rd-order and 4th-order polynomials are comparatively applicable to the curve fitting of the kinematic trajectories of forefinger tip and thumb tip, respectively. The conclusion thus provides a theoretic a reference for the trajectory planning and control of robot manipulator.