Electric vehicles (EVs) are playing an increasingly important role in the overall vehicle mix both globally and in Poland. The article contains an analysis of the electric car market analysing the occupancy of electric car charging points at different times of the day and the demand for power based on Poland’s experience in this field. Forecasts for the development of the market of broadly understood electromobility were analysed. The authors carried out research on the availability of public charging points for electric cars in Poland. The research determined the number of occupied charging points on working days and on non–working days, as well as the maximum number of single charging processes registered in individual months (September 2021–January 2022). As part of the analysis carried out in the article, the authors showed how much of a burden the current state of the electric vehicle market has on the Polish power system, taking into account the existing number of vehicles and their demand for charging power at publicly available stations. In addition, a simulation was carried out to determine how big changes in the load on the power system will mean an increase in the number of electric vehicles. Moreover, the authors indicated the hours of occurrence of a higher number of electric vehicle recharges per day and the number of occupied charging points. These data were collated and compared with the average power demand values in Poland. The study also explored potential strategies to mitigate the strain on the power grid, such as optimising charging times and enhancing grid capacity. The results underscore the need for proactive measures to ensure that the growth of electric vehicles does not compromise the reliability of the national power system.