This Master thesis deals and contains a detailed description of the geological units from upper Triassic dolomites of Žumberak Mountain that cover the research area. It contains the description of discontinuinity sets which affect on the degree of fragmentation on the karstified rock mass and thus on the fractal dimensions that give the information about the spatial distribution of fractures and dominating fracture sets. Fractal dimension is a measure of how fractures fill the space. Analysis of fractal dimensions are based on interpretation of taken photos on the field. The interpretation is made by a software Adobe Illsustrator CS6, but the analysis and values of fractal dimension are obtained by a software Fractalyse, with a meted ‘’Box – counting’’. The value of fractal dimension tells about the degree of fragmentation on the rock mass too. In the thesis the results of 1D measurements are extrapolated into 2D values.Lower values of fractal dimension indicate smaller number of fractures and higher significance of larger fractures while higher values indicate distribution of more similar sized fractures throughout whole outcrop. The main sources of data were the master’s Degree from PhD Tonči Grgasović and more scientific articles with a topic about the application of fractals on dolomites. Fractal dimension can be used in Discrete Fracture Network modelling if spatial distribution of fractures is represented with power law distribution.