Subject of this Master's thesis is prediction of noise which is a consequence of radial vibrations of power transformers' windings. At the very beginning of the thesis basic concepts of power transformers, vibrations and acoustics are given. Vibroacoustic analysis is conducted by means of the finite element method (FEM). Since a particular, already installed power transformer produced by Končar Energetski Transformatori is analysed, in subsequent chapter general data on this transformer are given. These data are used for setting up a numerical analysis. Actual design of the windings, which consists of transformer oil, conductors, paper insulations and spacers which ensure cooling and positioning of conductors, is simplified and modeled as three hollow cylinders immersed in transformer oil. For mass and stiffness of these cylinders are far greater than those of actual windings, their density and modulus of elasticity are determined by means of a detailed model of the windings which accounts spacers between the conductors. With material properties of the simplified model of windings being determined, a modal analysis is carried out and eigenfrequencies along with eigenmodes of the oil-windings system are obtained. Hereafter harmonic response of the system is observed with electromagnetic forces acting upon the windings included. Results are given as radial displacements of the windings, equivalent stress of the windings and acoustic pressure (Pa) i.e. A-weighted sound pressure level (dB(A)) in the acoustic medium (transformer oil). Averaged obtained value of A-weighted sound pressure level, in transformer oil, is approx. 85 dB(A). Since measured sound pressure level in the vicinity of the transformer's housing amounts 57 dB(A), it can be concluded that, this model is, considering level of details included in it, a good approximation of actual transformer's response. In the conclusion of the thesis a comment on results is given and influence of the introduced simplifications on the results is discussed.