An option of navigational support of an autonomous underwater object for the system of technological processes monitoring and management in the exploration and production of minerals, maintenance of underwater pipelines and engineering structures using a towed device fitted out with the consumer equipment of the space navigation system is presented. The approach oriented on recalculation of the buoy coordinates formed in the recurrent mode to the position of the underwater object is contemplated due to the consideration of their rigid coupling parameters when using a strength-power communications cable. An attempt was made to construct a technique for position measurement of the underwater carrier with simplified initial data. Based on the permissible geometric interpretation of the relative dynamics of the underwater vehicle and the surface consumer equipment, a concept was developed for recalculating the phase center of the latter into the center of the underwater facility masses. Its merit is determined by the possibility to increment when the noted dynamics is complicating. The results of statistical computer simulation of the process of recurrent estimation of the coordinates of an underwater object are presented using a constitutive model characterized by a second-order polynomial.