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This paper presents, conjugate gradient method (CGM) to adapt the weights vector of the smart antenna system. The radiation pattern of the proposed antenna system is adjusted to emphasize the desired signal by orienting the main beam toward it and eliminate the interfering signals perfectly by pointing nulls in their directions. The performance of this system is compared with that of one of the fastest steepest descent adaptive algorithm named recursive least square (RLS) algorithm. The simulation results show that the proposed method approximately three times faster than RLS algorithm and has better output signal resolution.