Due to the steep and changing fast rising edge of explosion shock wave signal, it asks for good dynamic characteristic of sensor and test system. As far as the development of the sensor level, they are difficult to achieve dynamic characteristic requirement of approximate distortionless transmission, so cause a large dynamic error in the actual test. This paper, aiming at providing theoretical support for technology guarantee and service of the shock wave testing system of national shooting range, conducts a research on the method of dynamic characteristic compensation of pressure sensor facing the power evaluation of the blast shock wave. The research proposes and studies the filter design method of dynamic compensation of pressure sensor based on PFQPSO (the progressive function quantum-behaved particle swarm optimization) algorithm, which belongs to inverse modeling. The dynamic compensation can be realized without knowing the model of sensor, so the extra error caused by dynamic modeling of sensors can be avoided. using 8510 series sensor can be used with lower natural frequency and lower measurement range from Endevco Company, this research has had experiment and modeling on the dynamic characteristics of shock tubes as well as design of dynamic compensation filter. Based on the analysis and confirmation, this study illustrates the possibility and effectiveness of this method.