Authors’ original problem-solution-approach concerning aviation security management in civil aviation applying parallel calculation processes’ method and neural computers’ usage is considered in this paper. Problem statement by setting secure environment simulation tasks for grid models, and neural networks’ usage is presented. The research subject area of this paper is airport services in civil aviation, considered from the point of view of aviation security, defined as the state of aviation security against unlawful interference into the aviation field. The key issue in this subject area is aviation safety provision at an acceptable level. In this case, airport security level management becomes one of the main objectives of aviation security. Aviation security management is the organizational regulations in modern systems that can no longer correspond to changing and increasingly complex requirements determined by factors of external and internal environment, associated with a set of potential threats to airport activity. Optimal control requires the most accurate identification of management parameters and their quantitative assessment. The authors examine the possibility of applying mathematical methods for processes and procedures’ security management modeling in their latest works. Parallel computing methods and network neurocomputing for modeling control processes of airport security are examined in this paper. It is shown that the methods’ practical application is most effective in the decision support system, where the decision maker plays a leading role. Decision support system on the aviation safety management should include risk assessment subsystem of adverse events.