This paper presents an inverse kinematic analysis of a 6-Prismatic-Spherical-Spherical (6-PSS) compliant parallel platform for optoelectronic packaging. The platform is driven by the piezoelectric motors, which combines the advantages of parallel platforms and wide-range flexure hinges. Since the rotation center of the wide-range flexible hinges constantly varies with the motion of the platform, it causes much error for positioning accuracy of the platform in applications. In this paper, an inverse kinematic solution based on elastokinematic analysis is proposed, in which the deformation of the wide-range flexure hinges is considered. And finally, several different cases based on the elastokinematic model are given, the results prove this method effective.