A scheme for master-slave carrier recovery upon the blind phase search algorithm is proposed in this paper, and the scheme is suitable for coherent wavelength division multiplexing systems based on optical frequency comb with frequency offset. Firstly, the blind phase search algorithm is used to obtain the phase noise of the master channel, which is in turn used to initialize the phase noise of the slave channel. Then, the initialized results are corrected with phase trackers that can test phases automatically. By adaptively adjusting the number and central position of the test phases, this scheme achieves low-complexity tolerant carrier phase recovery of frequency offset. The simulation results show that when a five-line optical frequency comb with an 80 GHz interval is used as the transmitter and the local oscillating light source, the calculation complexity of the slave channel can be reduced by 80% without sacrificing phase noise tolerance compared with carrier recovery schemes that have channels independent from each other.