A concentrator is used with an III-V multi-junction solar cell to form a high concentrated photovoltaic (HCPV) system, the conversion efficiency of the system can be increased due to more lights collected. In designing the HCPV system the aspect ratio is very important to practical usage and high value is desirable, an large aspect ratio will enhance machinery earthquake resistance so that the price of the whole HCPV system can be apparently reduced. In this study, the new design of solar concentrator composed of TIR section and conic section for III-V multi-junction solar cell is proposed. Through simulation data, it is found that this new compound concentrator can offer a higher flexibility and a better aspect ratio. In this work, the main geometrical concentration ratio of this concentrator is 1370X, the aspect ratio of 4.27, and the conversion efficiency is 80%. Moreover, the uniformity of illumination on the surface of the solar chip is 0.375 and the half acceptance angle is 0.586°.