Generally, Railway bridges are long structures which have different responses against different loads of train. Applied loads of train on railroad bridges are different in terms of axle loads speed, and annual passed tonnages and they have quite different dynamic behavior in comparison with road bridges. Most researches are basically focused on the quasi-static analysis. Therefore in these researches, the effect of load speed has been neglected. Nowadays with the development of rail transport systems, the study of dynamic behavior of bridges under the different load speed is necessary. Also, the dynamic behavior of curved bridges is different than straight ones. In this paper, vertical and torsional vibrations of a curved beam have been studied with considering vertical, horizontal load and eccentricity of load than centerline of bridge. Also the considered parameters in this research are radius of curvature, track irregularity, vehicle speed and bridge span.