Every geodetic network point of the zero order in Slovenia contains control network for monitoring the local stability of the reference zero order point. At one of the points of the zero order, which is located in Kog a precise geodetic survey was performed. Observations were treated and adjusted in height and horizontal control network in order to obtain local positional coordinates of the reference points and the control network points that will be used to identify the movement of these points in subsequent epochs on the network. In the end an analysis of the accuracy of the results obtained was made. The thesis describes the procedure of precise geodetic measurements in the field, used instruments, processing of the measured values and the adjustments of data.