Abstract: The jet radiation mechanism of fermi blazars is a very important problem. 442 groups of blazar data are collected, including 215 flat-spectrum radio quasars (FSRQ) and 227 BL Lac. Based on the data, the correlation between jet power and multi-wave luminosity is studied. The results are as follows:(1) for FSRQ, jet power is strongly correlated with the luminosity of radio, optical band, X-ray and gamma rays. And the order of luminosity distrbution is:logL_γ > logL_O > logL_X > logL_R. (2) For BL Lac, jet power is strongly correlated with the luminosity of radio, optical bands and gamma-rays. But there is only a weak correlation between jet power and X-ray luminosity. And the order of luminosity distrbution is:logL_O > logL_γ > logL_X > logL_R. Moreover, the luminosity of each band of BL Lac is less than that of FSRQ. We believe that these differences are due to differences in the intrinsic properties of FSRQ and BL Lac, i.e., differences in accretion modes and jet radiation mechanisms, etc.