This paper describes utilization of a multilateration principle in the multi axis machine error modeling. Multilateration plays an important role in the identification of the exact position of the point in a machine tool workspace. The measured data were obtained using laser tracer in spherical coordinates. The multilateration attempts to improve the data accuracy using only a radial component. Two approaches are presented: the multilateration without weighing and the multilateration with weighing. That is based on the quality of the laserTRACER signal during the measurements. The weight of each value of the measured distance was given as a ratio of each signal quality to the best signal quality which was obtained during the measurement. Both of our results were compared to the data that were obtained by the original software TRAC-CAL.