Currently, there is relatively limited research on the dynamic response of sintered neodymium iron boron (sintered NdFeB). In order to reveal the dynamic response of sintered NdFeB, a Hopkinson pressure bar experimental platform is constructed to study its dynamic response. The results of the study indicate the necessity of establishing a dynamic constitutive model which can reflect its the strain rate sensitivity. Therefore, combining the Weibull distribution with the Zhu-Wang-Tang constitutive model, a constitutive model with damage for sintered NdFeB is created and this model is extended to three-dimensional form, expressing its incremental formulation. Finally, to verify the accuracy of this model in practical applications, the VUMAT subroutine is utilized to compile the damage constitutive relationship of sintered NdFeB. A Hopkinson pressure bar computational model is established, and the results show good consistency between the simulation and the experiment. This study provides a reference for the practical application of the damage constitutive model in actual scenarios.