Abstract: In this paper, the construction of polar codes with multiple quadrature amplitude modulation (M-QAM) modulation is studied. To solve the problem of the various noise power of the coded bits caused by M-QAM modulation, we propose a method to divide the channel of M-QAM modulation into a several of parallel binary-input channels with constant noise power so that the traditional construction method for binary-input channel is available for the M-QAM modulation case. We also give the design in detail for M-PAM/M-QAM modulation. Our numerical results show that the proposed scheme has good performance.