The recent increase in the adoption of network-based communication systems has resulted in a heightened need for efficient data transmission techniques which safeguard the confidentiality, integrity, and availability of information transmitted across the network from eavesdropping, intercepting, and tampering attempts by cyber-criminals and other forms of cyberattackers. With the ever-present risk of cybersecurity threats such as eavesdropping, man-in-the-middle attack, packet sniffing, data interception, and data tampering through the use of conventional data transmission protocols, the need for incorporation of cryptographic techniques into network communication systems becomes increasingly important. In this research paper, a cryptographic model for data transmission will be presented. The cryptographic system utilizes a combination of two cryptographic algorithms, namely the Advanced Encryption Standard (AES) algorithm and Rivest–Shamir–Adleman (RSA) algorithm to implement a hybrid model for data transmission across networks. The hybrid encryption model aims at combining the efficiency and speed offered by symmetric encryption with the ability of asymmetric encryption to provide a means of key exchange for more efficient security of data transmission across networked systems. The proposed methodology includes the development and simulation of the encryption and decryption model in the Python programming language together with OpenSSL libraries. Also, the model is effective in dealing with any potential attacks from the network while still ensuring efficient transmission of information. It is clear that the integration of hybrid cryptography in network communication systems improves security and efficiency during data transfer.