<p>We present the results of numerical and experimental investigations of vibration of a residential building and its seismic protection by means of rubber isolators made in Ukraine from natural rubber. The numerical studies of vertical oscillations of the building with rubber supports on the level of reinforced-concrete grid were performed with the help of dynamic digital twins developed on the basis of the finite-element method. The numerical studies of the vibrations of digital twins were carried out according to the records of soil vibration accelerations obtained under the effects of railway trains, as well as for the effects determined according to the accelerograms of earthquakes. The numerical analysis of buildings on seismic supports with regard for the seismic loads was performed with evaluation of the factors of safety against overturning of the residential building. We show that the solution to the problem of vibration and seismic protection of buildings is possible in the case of application of the rubber elements as isolators characterized by a nonlinear dependence of stiffness on the load.</p>