To obtain the ignition and growth model parameters of HNS-Ⅳ based polymer bonded explosive （PBX） under shock initiation， the shock wave loading method from explosive plane wave lens was used. The shock waves were attenuated by attenuators and impacted with tested explosives， and the interface particle velocity profiles between tested explosives and LiF （lithium fluoride） windows were measured by photonic Doppler velocimetry. Several explosive pellets with varying thicknesses could be mounted to the attenuator in one shot， by adjusting the thickness of attenuator to change the input pressure， the growth process of interface particle velocity was obtained. Meanwhile， the unreacted shock adiabatic curve of tested explosive was measured by the reverse-impact method， and the cylinder expansion velocity history was acquired by 10 mm diameter cylinder test. Then， the JWL （Jones-Wilkins-Lee） equation of state （EOS） parameters of unreacted explosives and detonation products were fitted with experimental results by genetic algorithm. Finally， the interface particle velocity histories between explosives with varying thicknesses and LiF windows were fitted with the ignition and growth model. The results show that the fitting correlation coefficients of EOS parameter curves for unreacted explosives and detonation products are high enough， and the obtained ignition and growth model parameters well simulate shock initiation experimental results， which can meet the requirement of initiation train design.