The paper describes the software package EMTP, which is used for transient analyzes in the power system. Special emphasis was placed on the application of the EMTP software package in the analysis of atmospheric overvoltages in high-voltage switchgear in open space. A brief overview of the modeling of individual components/elements of the switchgear for the purposes of the above-mentioned analysis of atmospheric overvoltages is given. The method of modeling the occurrence of an overvoltage wave on the switchgear, as a consequence of a direct lightning strike on the phase conductor of the incident transmission line, and as a consequence of the occurrence of a reverse jump on the incident transmission line is also presented. Finally, the application of the EMTP software package, for the aforementioned analysis of atmospheric overvoltages, was made on the concrete example of a typical switchgear TS 110/x kV.