A speech communication is the one of the major communication between the humans. Secure speech communication has been of great importance in civil, commercial and military communication systems. As speech communication becomes widely used and even more vulnerable, the importance of providing a high level of security becomes a major issue. Traffic analysis will helps us to prevent the communication packet loss. Voice activity detection will helps as to save the bandwidth by removing or eliminating the silence packets from the original packet sequence. Generally consider the total size of the packets for transmission. we consider the size of the packet on timely manner. A traffic analysis attacks to encrypted speech communications with the goal of detecting speakers of encrypted speech communications based on the voice activity detection methods. Attacks can detect speakers of speech communications made with different codecs. Traffic analysis attacks can greatly compromise the privacy of encrypted speech communications.