The article considers a mathematical model of the accuracy of multi-position localization of hidden transmitters based on Distance Measuring Method. The model uses the distance from the transmitter to the group of synchronized receivers as the main parameter for calculations. The Least Squares Method is used to generate a localization accuracy model. The estimation of the localization accuracy is carried out on the basis of comparing the accuracy of finding the location of the hidden transmitter relative to the accuracy of measuring the range to the receiving antennas. Practical results of localization accuracy field for a typical office building are obtained by simulation.