In order to improve the safety of signalized intersections (hereinafter “intersections”), a approach to calculate the vehicular inter-green time based on safety reliability is put forward, and the curve family of vehicular inter-green time (VIGT) and safety reliability at intersections is drawn. Firstly, classical calculating methods of VIGT at intersections are summarized. Secondly, the calculating method VIGT based on safety reliability is modeled. Thirdly, based on Monte Carlo algorithm which can simulate the interactive process of reaction time and vehicular deceleration, the model is solved. Finally, according to the simulation results, the carve family of VIGT and safety reliability is drawn, which is under some typical intersection widths (15~35 m), vehicular speeds (15~40 km/h) and safety reliability values (50%~95% ). Results show that the core defect of classical calculating methods of VIGT is that they lacked the consideration of the randomness of vehicular behavior parameters in lane group. The VIGT is influenced by multiple factors and obey the normal distribution, in addition, the sensitivity analysis shows that the VIGT was the most sensitive to reaction time (32.46% ) and vehicular deceleration (24.68%). Considering safety reliability into the calculation process of VIGT, on the one hand, provides a new approach which is based on probability theory, on the other hand, lays the foundation of quantitatively assessing the safety of VIGT at intersections.