The subject of this paper is the analysis of the geo-mechanical stability of slopes of the surface coal mines of the main geometry factors. Its main purpose is to define the interaction between the geological environment and the engineering activity. Therefore, in solving this problem all available documents from the previous researches and examinations for obtaining more credible and relevant data are used. Because of the above mentioned, the thesis shall obtain the following analyses: Description of the existing situation from geological aspect; Application of various numeric and graphical methods; Selection of most optimal geomethric parameters and stability analysis; In general, various methods are used for slope stability analysis. They can roughly be divided into two groups, such as: Border balance methods. In general, the slope stability analysis consists of the following components: Safety Factor Fs; Slope – Geometrical properties; Physical-mechanical properties of tested soil materials; Groundwater. The stability calculation shall be conducted by various methods with the software packages GGU Stability (BISHOP, JANBU). Discovering the right measure and the exact ratio between the advantage and the limitations of a given method is possible only through appropriate methodological approach, where aspects relevant to specific problems in geotechnical engineering shall be analyzed. Following significant results occurred from the work on this doctoral dissertation: 1) Analysis and sensitivity evaluation of the safety factor in the change of the values of certain geo-mechanical parameters. 2) Critical review of the selection of methods for geo-mechanical stability analysis;