This article simplifies the complexity of an adaptive antenna by employing the genetic algorithm. The system requires only the error signal and the phase-shifters in the discrete value to form an antenna pattern. An adaptive antenna with two elements and sixteen discrete steps of phase shifter is used. The instantaneous sample of an error signal is used as the cost function, which is minimized by using the genetic algorithm. Numerical results show that this antenna can improve signal to noise ratio in excess of 15 dB.