In this work the physical phenomena associated with the wave passage under long buildings have been studied. Two-dimensional, Continuous models have been used to represent the building vibration. Buildings without major discontinuities, with shear walls at the ends, with a central core and with a soft first floor have been considered. Analytical, closed form solutions have been obtained for the response to incident monochromatic, plane SH waves. The soil-structure interaction has been neglected.; Response of a building to a translational and rotational excitation has been calculated also, as an approximation when the ratio between the length of the building and the apparent wave length of the ground wave in the horizontal direction is very small.; Methods of computation of the response to realistic ground motion have been suggested, for different forms of incident waves and in terms of Fourier synthesis.