A calibration method for kinematic parameters of a seeker was researched to improve the Line of Sight (LOS )static pointing precision of the seeker. Based on the opto-mechanical structure feature of the seeker stabilized platform , the ideal kinematic model of the seeker was established by local product-of-exponentials (LPOE) formula. Then, the ideal kinematic model was corrected by analyzing the impact of axial errors on kinematic parameters. According to the principle of parameter calibration, a genetic algorithm was designed to improve the searching efficiency by using multi-point crossover and adaptive mutation probability and to obtain the global optimal parameters. By using LOS static pointing error as the objective function, the kinematic parameters of seeker were identified based on the genetic algorithm. Finally, two groups of data were measured by a laser tracker to identify the kinematic parameters and verify the calibration model. The experiments indicate that the LOS static pointing precision can be improved from 109.9″to 22.3″after calibration, which concludes that the kinematic parameters of seeker can be corrected by the proposed calibration method.