The task of this thesis was to study the frequency-dependent model of a metal oxide surge arrester developed by the IEEE working group 3.4.11. and its implementation within the EMTP – RV software package. ABB’s EXLIM T surge arresters were successfully implemented within the software package. The theoretical basis of the IEEE frequency-dependent model of a surge arrester is described in the introductory part of the paper and in the second chapter. The stages of development and the final version of the model are described, along with the equations through which the values of the parameters of individual model elements are obtained. The second chapter also describes in detail individual model elements within the EMTP – RV software package, and among other things, their capabilities and impact on simulations are listed. The third chapter contains catalog data for 28 EXLIM T metal oxide surge arresters. The tables list the surge arresters according to the maximum system voltage and the nominal voltage. The maximum residual voltage on the surge arrester during current surges of different duration and intensity is listed. The third chapter also includes catalog data on the dimensions of individual surge arresters as well as illustrations of their shapes. The process of modeling a metal oxide surge arrester within the EMTP – RV software package is described in the fourth chapter. A detailed procedure is described using the example of just one surge arrester with a nominal voltage of 444 kV. The procedure starts with the selection of the necessary model elements, followed by the calculation of parameter values and their entry into individual elements. After the first iteration of the model is completed, the simulation is started and, by adjusting the element parameters, the most accurate model of the surge arrester is attempted to be achieved. For other surge arresters, a detailed procedure is not provided, but numerical simulation results and changed model parameters are presented in a table. The fourth chapter also presents the Heidler function with its associated parameters. Finally, the fifth chapter analyzes the obtained values of the surge arrester model parameters with the aim of developing a method that would allow the same solution to be achieved in future surge arrester modeling using an accelerated procedure. The adjustment time of the Vref parameter for the slow wave and the adjustment time of the L1 parameter for the fast wave are successfully shortened by developing equations that relate the aforementioned parameters to the residual voltage on the surge arrester.