In order to investigate the relationship between the mistuning of the aeroengine compressor multistage bladed disk structure and the maximum amplitude of vibration response, a three-stage bladed disk lumped parameter model with inter-stage coupling was established, and Monte Carlo sampling technique was used to simulate the random mistuning mode of the stiffness of the bladed disk system. The vibration response of the three-stage blending-disk system in the harmonic and mistuning state is obtained by analyzing the vibration response of each vibration mode. The results show that the amplitude of the bladed disk system can be reduced by increasing the damping value. In the case of mistuning, the displacement of the bladed disk system and the maximum amplitude of spectrum analysis are larger than those in the case of harmonic. With the gradual increase of the standard deviation of stiffness mistuning, the system response displacement is gradually enhanced, and the maximum response amplitude is obtained at the upper bound point of mistuning strength. So, there is no so-called mistuning 'threshold' condition.