In this paper, some problems that occur from faulty elements in a direction finding system composed of the linear array are studied and the method which improves the performance is proposed. The faulty element means the sensor that has no output or highly reduced gain than other normal sensors. In the presence method, the ocrrecting vector is calculated by maximizing the spatial spectrum subject to a constraint. The compensated spatial spectrum is obtained by this vector. The computer simulations have been performance to study the performance of the proposed method.