A novel beamforming algorithm based on conjugate gradient methods is described and its performance is computed in terms of bit error rate for practical CDMA 2000 communication systems. The proposed technique attempts to maximize signal-to-noise plus interference of the received signal, and is based on solving the eigenvalue problem where the optimization of the weight vector is done using the pilot channel. The performance is simulated for practical CDMA 2000 1X communications systems in wireless propagation environments with high angle spread. The performance of the proposed beamforming algorithm is also compared with existing beamforming algorithms. Simulation results show that the performance of the proposed algorithm is more robust to higher angle spread.