ABSTRACT. Cryptography is the science or study of the techniques of secret writing, especially code and cipher systems, methods, and the like. Cryptography must ensure the high-level security of transferring and saving data. There are two types of cryptography algorithms such as symmetric key cryptography and asymmetric key cryptography. Nowadays there are various types of cryptographic algorithms which provides high security of information, but they also have some weak points too. To improve weakeness of these algorithms, in this paper we propose a new hybrid cryptographic algorithm model. This algorithm is designed using combination of two cryptographic algorithms AES and Elgamal. Was done analyses and comparision of the performance of proposed algorithms by following parameters encryption time, decryption time and system requirements. For this cryptography algorithms were created program on Java in NetBeans IDE. Implementation and performance analysis of this proposed models were done by Java. As a final result shows the hybrid model has better performance than AES and Elgamal systems.