Abstract: Transmit beampattern for MIMO array with collocated antennas is usually obtained by optimization of signal correlation matrix. These methods have disadvantages of the performance strongly depending on initialization parameters and computation complexity. This paper presents a set of basic beams created by minimizing sidelobe level beamforming of uniform linear array using second-order cone programs method, based on the idea that an arbitrary beampattern can be synthesized by a set of basic beam. Then the weighted coefficients of basic beam of transmit beampattern can fastly be computed. The presented method possesses more minimized sidelobe and smoother mainlobe. The efficiency and validity are verified by the simulation results.