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”Tire blow-out” is a fast loss of air pressure that fills a vehicle tire, effecting from a puncture or a fatigue of tire structure. Statistical data, published in the United States, showed that “tire blow-out” caused more than 300,000 road accidents in the period of 1992–96 [1, 3]. Over 2000 people died in those accidents and many more were injured [1, 3]. The data and successful attempts of simulation presented in the work [1], prompted the author to try modeling and simulating this case of vehicle motion. The main emphasis in the hereto presented tests was put on qualitative assessment of vehicle behavior after a “tire blow-out”. The results presented in the work [1] show that the smallest motion disturbance of a vehicle takes place when the driver does not react (by turning the steering wheel or pressing the brake pedal). So, an assumption was made that the driver keeps a zero value of the steering wheel turning angle and pressure on the brake pedal.