Today, wireless networks are significantly expanding in the current world, various security protocols have been introduced to secure the transmission of information, such as IEEE802.11i protocol. In data transfer management, only the 32-bit Cyclic Redundancy Check (CRC) algorithm has been used, which is only applied to detect the error in the transmission of data. Therefore, the unsafe data transfer allows attackers to perform different types of attacks and destructive efforts, particularly in Denial-Of-Service (DOS) and Man-In-Middle (MitM) attacks. In this paper, a new asymmetric cryptographic algorithm is presented to improve the security of the IEEE802.11i protocol. The experimental results showed that the proposed method has optimal performance than other approaches such as a fuzzy method.