Annotation: The purpose of a navigation system or a complex of navigation systems of any object is achieving of navigation parameters vector as a result of the initial measurements and their further processing which are further used in controlled systems of the object motion. The achieving of navigation parameters in such systems is based on the "ideal work" algorithm, which, with without abnormal primary information sensor system (measurers of velocity and course and also acceleration and angels that position the gyroscopes) and in the assumption of zero-error of these sensors ensures the error-free parameterisation. The implementation of the "ideal work" algorithm ensures the system unexcitability by useful signal, which is the valid values of navigation parameters. Despite the fact that the indifference of system errors from the true motion of the object, taking into account the multiplicative component errors, the unintentional smoothing of the high-frequency objects moving through the inertia of the sensors is carried out approximate, the algorithm of the system of calculating coordinates and the inertial system tend to bring as close as possible to the "ideal work" algorithm. For this purpose, the mathematical devise for the development of an optimal algorithm for the navigation information processing is grounded in the article. The optimal algorithm for processing of navigation information is proposed to provide the necessary accuracy of determining the position of an object in the route of movement.