Aiming at the bit error rate caused by bit allocation in singular value decomposition in different channels and SNR, a hybrid precoding algorithm based on geometric mean decomposition is proposed. In the case of considering both the precoder and the synthesizer, the digital encoder is first designed with singular value decomposition at the base station side, and the analog precoder is designed using the base tracking principle. A heuristic algorithm is then used at the receiving end to design the digital synthesizer and the analog synthesizer. The simulation results show that the proposed hybrid precoding scheme has lower error rate than the traditional singular value based hybrid precoding, and the spectral efficiency is closer to the ideal value.