The invention discloses a calculation method of a small and medium-span continuous bridge hogging moment impact coefficient. A small and medium-span continuous bridge is taken as an object, the characteristics, including the structural style, the geometrical morphology, the supporting situation, the quality, the rigidity and the like, of the bridge as well as the influence factors of the impact coefficients, including the amount, the axle number, the axle weight, the axle interval, the driving speed and the like of a vehicle are comprehensively considered, a method of combining theoretical analysis with numerical simulation is adopted to solve a computational formula problem of the regression fitting of the continuous bridge hogging moment impact coefficient according to an interrelation between the impact coefficient and an internal force influence line, the vehicle-mounted dynamic behaviors and mechanisms of the continuous bridge are disclosed, a bridge design theory and a bridge calculation method can be enriched, references are provided for bridge dynamics assessment, and the calculation method is accelerated to be widely applied and developed.