Since 1993, chaos-based cryptosystems were widely discussed in the literature for the encryption of different types of row data. In recent years, as the encryption methods have been considerably improved due to the notable development of communication equipment; a large amount of secure communication system-based researches has been published. In this paper, we present a new chaos-based secure communication system relying on three levels of cryptography that combines a conventional encryption algorithm and chaos masking technique. Furthermore, to enhance the security level, three different types of attractors that were generated from a unified hyperchaotic oscillator are used in the proposed communication system. This new chaotic secure communication scheme is implemented to transmit a voice signal. Finally, to demonstrate the efficiency of the suggested communication system, several testing methods are employed to prove the unpredictability of the signal carrier, by the attackers in both domains, time, and frequency.