We urgently need to explore the communication security guarantee mechanism to ensure the security of transmitting important information, and the steganographic communication model plays a crucial role in achieving this security. In this paper, we focus our research on secure communication methods using images, a widely used multimedia transmission medium. We design two covert communication models, LSTM-ACGAN and CNN-GAN, to enhance the security of deep image steganography algorithms while also improving their generalization ability. This paper’s model is compared with three current mainstream steganographic communication models on a dataset, and the CNN-GAN model is applied to a confidential unit dataset transmission. The research reveals that the two models in this paper possess the ability to detect across multiple domains, remain unaffected by specific domains, and require only 30%–33% of the parameters and arithmetic operations compared to mainstream models. Furthermore, they exhibit greater versatility and practicability, with training accuracy reaching 90% or higher. The model presented in this paper can meet the computer information security communication task after several rounds of iteration and meets the design expectations. This study provides a useful exploration for the establishment of computer information security guarantee mechanisms and designs a proven secure covert communication scheme.