As for the problem of heavy transmission burden of wireless communication, a recursive filtering algorithm based on dynamic-event transmission mechanism is proposed for a class of complex networks with state saturations and nonlinear coupling strengths in this paper, so as to guarantee the filtering performance and reduce the transmission burden of wireless communication networks. Firstly, the mathematical model of this class of the complex network is constructed. Then, a recursive filter with less conservatism is designed, the gain of the recursive filter is calculated and the performance of the proposed recursive filtering algorithm is analyzed. Finally, a simulation example is implemented. The simulation results shows that the introduction of dynamic event-triggered mechanism can reduce the transmission burden of the wireless communication network and achieve the purpose of saving energy. The recursive filtering algorithm proposed can ensure that this class of complex networks possess good filtering effect under the dynamic event-triggered mechanism, which verifies the effectiveness of the proposed algorithm.