This study focuses on establishing the dynamics of changes in the level of fatigue of an average driver in a traffic jam, which affects road safety. Linear and nonlinear models of the effect of traffic jam on the level of fatigue of an average driver have been developed, which allow assessing their condition depending on the driver’s age and the duration of the jam. Using a nonlinear regression model, the graphs of changes in the level of fatigue of an average driver of 25 and 65 years are plotted. The analysis of these graphs allowed us to establish the patterns of influence of road parameters on the functional state of the driver. The level of fatigue of the driver, which is determined by the change in his functional state, increases during his stay in the traffic jam. Therefore, the duration of the jam and the initial level of fatigue when entering the jam influence most the final level of fatigue of the driver. The driver’s age affects the level of fatigue to a lesser extent, but still significantly.