Smart Antenna systems have become a practical reality after the advent of powerful, low cost and digital signal processing components. It is recognized as promising technologies for high user capacity in 3G wireless networks by effectively reducing multipath and co-channel interference. The capacity, data rates, null steering and coverage of the cellular system are improved by using beamforming techniques such as the Recursive Least Square (RLS) and Least Mean Square(LMS) algorithms. Through this beam-forming technique, a base station can form narrower beam toward user and nulls toward interfering users. This paper mainly focuses on Recursive Least Square and Least Mean Square beam-forming technique. Simulation is done in MATLAB and can be takeninto consideration, to obtain the desired beam in the lookup direction. RLS gives maximum directivity in desired direction but side lobe level is more.