In this work, a non-local ordinary state-based peridynamic (PD) model for rate-dependent thermo-visco-elasticity was formulated to simulate the dynamic failure process of laminated glasses subjected to impact loads. The formulations of force states between two interacting material points within one ‘horizon’ were derived by taking the viscous and temperature-dependent mechanical responses of polyvinyl butyral (PVB) interlayers into consideration. A dynamic failure criterion used to determine the breakage of bonds was developed to model the failure process of glass sheets under impacting loads as well. The adhesion between glass and PVB layer was described by using a penalty-based method in numerical simulations. Two benchmark numerical examples, including (i) creep-recovery test of a PVB bar and (ii) dynamic fracture of a glass specimen subjected to different high strain rates, were performed to illustrate the accuracy and effectiveness of the proposed numerical model. After verification, the proposed model was employed to study the dynamic fracture of typical laminated glass plates under drop-weight loading conditions, in which numerical results show good agreement with experimental observations, and then the effects of temperature and impacting velocities on the impact resistance and failure mechanisms of laminated glass were investigated further.