Mass unbalance and bow deformation of a rotor are the most important factors causing rotating mechanical vibration failure, and studying the characteristics of flexible rotor dynamic balancing has played a key role in suppressing the vibration of rotating machinery. Through the DH5957 rotorbearing system balancing test, on the basis of the traditional rotor mass imbalance analysis of the rotor system, bow deformation of rotor system was further analyzed. Based on the transfer matrix method (TMM), mass unbalance influence coefficients and bow deformation influence coefficients of rotorbearing system were gotten. The many correction unbalance vectors needed by multiplane of balancing of the rotor at first critical speed were calculated and obtained by using the influence coefficient and low speed rotor response. These correction unbalance vectors were equivalent to a single balancing plane, and then the experimental rotor was balanced by adding a single correction mass on the balancing plane. The analysis of experimental data show that the rotor vibration response is attenuated to 211% at the first critical speed, the flexible rotor balancing cycle is reduced to once test weight accordingly; and the rotor can be smoothly transition at the first critical speed.