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This paper presents a new efficient hybrid higher-order MoM-UTD method. It overcomes the limitation of traditional MoM-UTD method, which is difficult to be applied to the arbitrary structures because of complex ray tracing. Using the large quadrilateral patches and higher order basis functions, the hybrid method in this paper can save much more computer memory than the traditional low-order MoM with RWG basis functions. So it is feasible for complex and electrically large structures. Good accuracy is achieved as the numerical results illustrated.