This paper presents a one-dimentional dynamic response analysis method to evaluate the dynamic response of the embankment and support ground system considering multi-reflection theory based on layer matrix method. Hence, the shape of embankment is modeled as an arbitrary trapezoid. Furthermore, by dividing the embankment into some horizontally layered thin elements, a variation of the material properties with depth is possible to take into account. It is found that the shape of embankment and the dynamic interaction with a support ground affect the vibration characteristics and that the damping characteristics of ground around the predominant frequency of embankment has the important role for the dynamic response.