Abstract：In this paper,precise-time step integration method is used to solve the dynamic equation of bridge under moving loads.The moving property of moving load is simulated as equivalent joint loads by Hermite function.The Duhamel integration format of moving load during a time interval is derived,including the moving load at the start time and at the end time on the same element,neighboring elements,or non-neighboring elements.Numerical example shows that highly accurate solution from the proposed method can be obtained by maximum time step in comparison with other numerical methods.