The invention discloses a quadratic congruence equation-based method for resisting denial-of-service attacks of a 
wireless network, which belongs to the technical field of network safety, and mainly solves the problem that the DoS (Denial-of-Service) attacks exist in a 
wireless access 
authentication process of an IEEE (Institute of Electrical and Electronic Engineers) 802.11i protocol. The method is implemented by the following steps: an AP (Access Point) adds parameters used for constructing a puzzle into a 
beacon frame and broadcasts the 
beacon frame periodically by using the 
beacon frame in the IEEE 802.11i protocol; a 
client STA (Special Temporary Authority) acquires the 
beacon frame, extracts puzzle parameters from the 
beacon frame, constructs and solves the puzzle in combination with the current global parameters of the 
wireless network, adds the puzzle parameters and the solution into an 
authentication request message, and sends an 
authentication request message to the AP; and the AP receives an open 
system authentication message of the STA, and the AP sends the authentication request message to the STA to complete the association process when the solution of the puzzle is correct, or the request of the STA is terminated. When the method is adopted, the negotiation times increased to construct the puzzle in a traditional 
client puzzle scheme are reduced, and the negotiation efficiency and the DoS attach resistance of the wireless access 
authentication protocol are improved.