The paper describes motor vehicles’ flow in controlled zones in the vicinity of critical infrastructure facilities using the mathematical apparatus of Markov processes. It is shown that there is a functional dependence that connects the average statistical intensity of motor vehicle traffic to any fragment of the situational background of motor vehicles operating in controlled zones near critical infrastructure objects. It is determined by the active fragment of the traffic background with the intensity of traffic vehicles registered for a period of time by the system operator and the number of violators recorded during the same time. A mathematical description of the situational background of motor vehicles in controlled zones near critical infrastructure objects using the mathematical apparatus of Markov processes is presented. It is shown that the number of violators or abnormal situations detected with motor vehicles operating near the protected critical infrastructure depends on the number of fragments of the traffic background, number of working video systems in the controlled area and their mode of operation. One of the options for bringing situational background of motor vehicles in the controlled zones near critical infrastructure objects from an extreme state to a stationary one is proposed based on the solution of the Kolmogorov-Chapman equation and the original interpretation of this solution. It is shown that return of the background from abnormal state to normal state will be determined by the number of measures taken by the physical protection service of the protected object together with the competent state authorities.