Advances in computer systems and innovative technologies along with their implementation into the shipping industry not only enabled efficient data exchange between the ship and the shore, but also created a single integrated information network linking all participants of the process and all elements of the maritime sector. Development of the concept of autonomous ships and automated control facilities for their functionality became the next stage in the evolution of innovations. The process of software adaptation, additional electronic steering systems, optical and digital means of monitoring as well as satellite communication facilities for autonomous ships are among the tasks which require search and development of the solutions. Provision of reliable and safe functioning of such ships in the autonomous mode requires development of models and methods for ensuring their accident-free navigation both in relation to the process of ships divergence and improvement of automatic steering systems of movement and course steadiness. In the given work, the analysis of realization of the crewless navigation and possibility of ship automatic movement control systems advancement on the basis of application of mathematical model for the purpose of enhancement of process of the autonomous ship steadiness on the set course is proposed. http://www. transnav. eu the International Journal on Marine Navigation and Safety of Sea Transportation