Purpose: The purpose of the article is to determine the perspectives of optimization of the agrarian market and provision of food security on the basis of digital technologies and to substantiate the necessity for development of wireless technologies of digital data transfer for this. Methodology: The following methods are used: Logical and structural & functional analysis, dynamic modeling of economic processes and systems, and formalization (graphic presentation of data). Results: It is substantiated that digital modernization of the agrarian sector allows for provision of food security. For optimization of execution of each function of the agrarian market, the corresponding perspective digital technologies are selected and advantages of their application in the aspect of food security are given. A mechanism of provision of food security on the basis of applying wireless technologies in the agrarian market is compiled. This mechanism reflected the logic (algorithm) of the process of provision of food security on the basis of usage of digital technologies in the agrarian market and emphasized the key (infrastructural) role of wireless technologies of digital data transfer in this process. Wireless technologies are the basis of the developed mechanism, as they are necessary for functioning of all perspective digital technologies of optimization of functions of the agrarian market. Recommendations: It is determined that all new digital technologies require infrastructural provision, which is based on wireless technologies of digital data transfer. That's why wireless future of the agrarian market defines possibilities for provision of food security by digital modernization of this market. That's why development of wireless technologies of digital data transfer should be paid attention during state regulation of the process of digital modernization of the agrarian market for provision of food security. © Springer Nature Switzerland AG 2019.