Abstract When a building is constructed close to high-speed traffic infrastructure, the assessment of the level of vibration in those structures is relevant to guarantee safety and comfort. As long as the number of those buildings is continuously raising, is important to have a method to evaluate ground-born vibrations that require the lower computational time possible. The purpose of this study is to develop a new method that allows studying ground-borne vibration, splitting the procedure to evaluate the induced vibrations in the structure in several steps, to reduce drastically the computational time of the whole process. With this aim, several FEM-PML models have been created, to compute the impedance of the foundations, the foundation displacements when a unitary load that simulates the traffic is applied, and also for the reference solution, which consists of the super- structure over the whole soil domain, used to compare the results.