Container transport is the main and leading form of transportation in shipping. Selection of the route for each voyage is determined by the nature of the traffic and operating conditions of the fleet. The best way to avoid any inconvenience when solving the predictive task of the liner ships is to use simulation taking into account both deterministic and stochastic processes arising from the operation of liner ships. The article describes a simulation model of a sea container line, for example, the company Fesco, working on a regular container line in St. Petersburg (Russia), using mathematical model and proposed model “follow the leader” to describe the movement of ships. The main task in the simulation is to achieve an optimal balance between ship traffic and the decision on group forecast issues with the composition of the ships on the line.