Wireless communication technology has been applied to various elements of society,including human-computer interaction and physical objects,carrying wireless signals containing various types of private data.The openness of wireless transmission channels has continuously challenged their security,and wireless covert communication technology ensures in-formation security and communication path security while achieving secure communication intentions.This paper introduces the classic model of covert communication systems and summarizes and generalizes the relevant research of covert communi-cation under traditional methods.This paper also introduces the utilization of adversarial neural networks to design effective jamming,power allocation in relay communication,and reconfigurable intelligent surfaces.Taking the scenario of covert communication with legitimate users as an example,we show a method based on a generative adversarial network to design limited-length covert signals and further apply the network to design interference signals under a full-duplex receiver.Final-ly,we discuss the academic value and potential research directions of neural network methods in relay covert communica-tion,covert communication under non-orthogonal multiple access(NOMA),covert communication with Rician fading,and interference-assisted covert communication.