On the basis of the analysis of coordinate information obtained from positional observations of stars with the cinema-theodolite KT-50, cross bar-beam for which is not allowed, the algorithm is developed and the investigation of the instrument is carried out. The values are determined, characterizing the coordinate system of KT-50: zero-points of the scales of azimuth and height, collimation, slopping to horizontal axis, slopping to vertical axis and its azimuth. The algorithm is developed for the calculation of the corrections for counts of azimuth and heights with the use of the results of processing of CCD-observation frames.