Extensive research on the static analysis of horizontally curved beam or girders has been done but practically no investigation has been undertaken on the dynamic analysis of such structural elements. Vibration of curved girder bridges under the action of seismic forces or moving loads and vibration of arches out of their plane are some examples where this problem assumes importance. In this paper a numerical method has been presented for free vibration analysis and seismic response of girders of any shape and any distribution of mass and stiffness.