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For large planar adaptive arrays, the computational load and the terabyte data transmission are two challenging problems in the implementation of adaptive beamforming system. This paper considers the problem of designing an efficient parallel adaptive algorithm using the two dimensional(2D) planar array. This paper extends the efficient parallel adaptive beamforming algorithm based on LCMV to adaptive 2D sensor array processing. The proposed 2D parallel adaptive algorithm can be easily implemented in distributed-parallel-processing system due to its parallel structure. It can save the data transmission as well as computing cost.