This paper studies GPS receiver anti-spoofing jamming problems. Unlike blanket jamming, spoofing jamming is hidden because its power level below noise floor. Besides, spoofing jamming has the same format with satellite signals. A designed spoofing jamming can guide GPS receiver positioning errors occurred and change its navigation line. The existing jamming suppression methods of satellite navigation systems are more suitable for blanket jamming suppression, while for spoofing jamming suppression, these methods are almost invalid. The current published literature make the spoofing jamming detection technology as the major research direction, and rarely involve how to suppress spoofing jamming. This paper analyzes the characteristics of repeater spoofing jamming. For one and multiple of repeater spoofing jamming scenarios, beam forming and RELAX algorithm are proposed to estimate the DOA (Direction of Arrival) of spoofing jamming respectively. After detecting the DOA of spoofing jamming, GPS receiver can steer nulling to the direction of spoofing jamming and suppress spoofing jamming by constructing the projection matrix of spoofing jamming. Simulation experiments prove the correctness and the effectiveness of the two methods.