The ray tracing method is used to evaluate the spatial distribution of energy density and power flow of vibrating structures at high frequencies. This is a significant improvement on the statistical energy analysis, which can predict only a single average energy value per subsystem. The models are the single curved beam which is based on the Euler-Bernoulli beam theory, and the connected beam structures. Longitudinal and flexural waves are considered. The spatial distribution obtained using the ray tracing method can predict the smooth spatial variation of energy value, without including the local fluctuating quantity. The accuracy depends on the modal overlap factor which is the function of the length of the beam, frequency range, and structural loss factor. The validity for the ray tracing method is checked by the regression of relative errors of the ray tracing as a function of modal overlap factor. For the relative error less than 10%, the modal overlap factor is larger than 0.2 for the single curved beam made of steel. This result represents that the ray tracing method can be applied to the vibration prediction of mid-frequency range.