The sensitivity of the receiver is easy to be degraded by enemy co-channel interferences if the desired signal is weak，such as satellite navigation or communication system. However，the jams could be rejected with a 4-element circle array antenna in space and polarization domains. The reference element locates at the origin of a circle and the other three dual-linearly-polarized elements are on the circumference uniformly. The LMS adaptive filtering algorithm is employed based on power inversion criterion，which adjusts the weight vector of the three dual-linearly-polarized elements and makes the equivalent polarimetric match factor be zero closely. Then the jams are rejected in polarization domain. The nulling antenna works without the space information of the signal，which makes it be implemented very easy. Furthermore，the degree of the freedom could reach 6 and the number of the interference signals could be more than the number of the array elements. The simulations prove that 4-element array could eliminate 6 interferences at most. And the jam would be rejected even with the same direction of arrival as desired signal if their polarizations are different.