The conformal array antenna is affected by the curvature of the carrier， and the pattern and polarization direction of each element are different， resulting in low beam synthesis efficiency and difficulty in suppressing high cross polarization levels when synthesizing wide-angle scanning beams. At present， most algorithms such as differential evolution are used for global optimization of conformal arrays， the process of array synthesis is complex and the synthesis efficiency is low. This paper is based on a conical conformal array layout， using a beam polarization synthesis algorithm based on projection rules to achieve efficient synthesis of wide-angle beam scanning and high polarization purity. The calculation results show that the proposed analytical algorithm can achieve high-performance beam scanning of conformal array in the half space， maintaining good low cross polarization characteristics in the main beam. The accuracy and effectiveness of the proposed algorithm are verified using high-frequency simulation software based on full wave numerical methods. This method can provide a theoretical basis for the engineering implementation of high-performance conformal array.