The diploma thesis deals with the estimation of the Eurasian lynx (Lynx lynx Linnaeus, 1758) population size (population abundance and density) in the largest mountain complex in the Slovak Carpathians and the Slovak Ore Mountains, in the Volovec Mts. Deterministic (systematic) camera trapping was carried out at 28 sites (camera stations), during 60 days from November 22nd 2020 to January 20th 2021 (a total of 1680 days of monitoring). Lynx was pictured on 60.71% of all camera stations. Size of the monitored area was 339.20 km2. After adding an additional radius of 10 km representing the space requirements of the lynxes and using the spatial capture-recapture method, the abundance of the population in Volovec Mts. was statistically estimated at 18.8 (± 4.13) lynx. This represents a population density of 1.8 (± 0.39) lynx per 100 km2 of suitable habitat in state space of 1374.75 km2, of which 1048.5 km2 was a suitable habitat and 326.25 km2 an unsuitable lynx habitat.. This was the highest estimated population density is Slovakia. According to the NATURA 2000 program of care, the population corresponds to the favourable status of this species in the Slovak Carpathians. Based on these results, it can be stated that the lynx population in the Volovec Mts is sufficiently viable to provide a limited number of founder individuals for reinforcement programe in the Dinaric Mts. and SE Alps. During 1,680 days of deterministic lynx monitoring in the Volovec Mts., a total of 1264 photographic events were recorded using camera traps, which pictured, among other, 15 species of mammals and 2 birds at 944 (74.68%) events. Of all recorded mammals, there were 3 large carnivores, 5 ungulate species, 4 small carnivores, 2 species of small game and 1 rodent.