Advance in current measuring technology in the field of geodesy raises a question of achieved precision and use of the terrestrial methods in building of the fine triangulation stations. In practice there are often circumstances that prevent us from acquiring the position of a fine triangulation station by means of the satellite Global Positioning System, hence we prefer the terrestrial positioning of the fine triangulation stations. Our goal is building new fine triangulation stations using chosen geodetic methods. Basis for determination of the coordinates of new fine triangulation stations is made by an array of measured data acquired by sampling measurements. The bachelor thesis concerns with the analysis of precision in position of the fine triangulation stations with respect to the used building methods, configuration of known and determined stations, and the effect of systematic errors, apparatus and measuring techniques. Aim of this study is analyzing the precision of acquired position of a fine triangulation station expressed by an average deviation in position with respect to the chosen universal measuring station.