This paper proposes conjugate gradient (CG) algorithm as adaptive interference mitigation approach based on space time processing for global navigation system receiver arrays. There are a great number of existing algorithms to deal with interference, whatever time domain adaptive filters or reduced rank ones. However, which is the optimal one that has been investigated for a long time. In navigation receiver applications, the requisite requirements of space time processor are the fast convergence speed and stable steady art performances rather than complexity due to its fewer antenna arrays, shorter time delay line and reduced rank algorithms. Thus, we try to simulate different types of adaptive filters for navigation receivers under various interference environments. The results verified that reduced rank conjugate gradient algorithms have better performances than other methods.