This paper deals with the construction of an analytical model of a vertical mechanical structure subjected to 2D seismic excitation and numerical vibration analysis for 2D sinusoidal and stationary random excitations. Results indicated three kinds of vibrational resonance phenomena, i. e. , (1) regular resonance to horizontal excitation, (2) parametric resonance to vertical excitation, and (3) combined resonance to simultaneous horizontal and vertical excitation.