We propose and analyze an efficient scheme for realizing the high transfer rate for quantum router composed of two coupled-resonator waveguides (CRWs) channels coupled with N sequential cavities with embedded N four-level atoms. In this paper, we focus on the effect of the phase difference between different coupling constants which has been ignored in the previous works. In this scheme, we demonstrate that the phase difference between the coupling constants has a very large impact on the band spectra of single-photon propagating from one of the CRW into the other. Besides, as the number of atoms embedded in the two CRWs increases, the efficiency of a single photon being routed into other CRW can reach 100%. More importantly, we also find that if the phase difference of the coupling strength exists, even if there is atomic dissipation in the system, the transfer rate of a single photon not only it not decrease but it increases.