Safety and efficiency of operation of complex high-cost means of transportation are impossible without thorough training of operators. Major attention in the process of training of the operators is devoted to the trainer-machine and methods of evaluation of the reached results of training. The author proposes a methodology for evaluation of the quality of man-operator training for operation of the complex high-cost means of transportation, aircraft, for example. In the process of realization of operators' training the trainer-machines are used for receiving signals from the filter of the second order. The filter meets the standard of a generator of a white noise. Use of a standard generator of the white noise gives a possibility to obtain valuable conclusions. The experiment of the trainer-machine was an immediate success - the results were surprising. A spectrum of the signals were received, which by the frequency and amplitude, as it was found out, were near the spectrum of the signals typical for the real conditions of a high-mobile flight of an aircraft. Evaluation of the reached results of training on the trainer-machine demonstrated the quality of stabilization and direction-control of an aircraft as far as four rather difficult problems are concerned. Those problems relate to the dynamics of an aircraft. They are described by the systems of a differentiation equation, which is the program maintenance of the trainer-machine. An operator solves the problems of the longitudinal and transversal or diametrical direction of a flight. The mathematical algorithm for stabilization and direction of an aircraft envisages that the machine time of the operator's reaction is equal to 2 s. It is the time accepted for the standard, based on the results of a big number of experiments and thorough research. Evaluation of the reached results of training of a man-operator is based on the established facts and it ensures the minimal value of the ratio of the root-mean-square deviations of the parameters of a turbulent airflow and errors of stabilization and control of a man-operator on pitch and roll of a plane (aircraft).