An interferometric projection Fourier transform profilometry based on cube splitting prism is proposed. The interference projection theory of cube splitting prism is theoretically analyzed and simulated based on Young's double-slit interference principle. By adjusting the installation angle of the prism, any adjustment of the interference projection fringe period can be realized. The results prove the feasibility and flexibility of the interference projection system. The three-dimensional shape reconstruction of a small foot model is carried out, and the experimental results show that the interference fringe phase is stable and the intensity distribution is uniform, the proposed method can be used to recover the three-dimensional shape of the object well.