Abstract: Static stress is prevalent in all kinds of engineering rock mass,and the influence of static stress on the characteristics of rock mass is very important and can not be ignored.By combing the existing literature systematically,we found that the static stress has an effect on longitudinal wave velocity of rock and longitudinal wave velocity and density are related,but the current study there are two problems:no further analysis of the influence of static stress on the wave impedance of rock;static stress is mainly uniform static stress.But the static stress in the engineering rock mass is mostly gradient stress,the gradient stress leads to the change of the wave impedance of the rock mass in the form of gradient.In view of the blasting excavation of deep rock mass and the seismic wave propagation,the effect of gradient stress in rocks on the law of the propagation and attenuation of stress wave needs further studies.