Abstract: To the technology on space-time adaptive anti-jam of GPS receiver system, the paper analyzed the Least- mean-square (LMS) algorithm based on FORST array processing presently and then proposed a new Least-mean- square (LMS) algorithm of FORST based on kernel method. By modeling space-time adaptive processing (STAP) and KFLMS algorithm, it researches the performance of anti-jam system. The simulations show the number of wideband and narrowband interferences suppressed by KFLMS algorithm is more than that of the sensors of array antenna. KFLMS algorithm can restrain the intensity of interference up to 70 dB, which is better than FLMS algorithm.