In high-speed networks supported by TCP/IP, congestion control algorithm plays an important role. Real time streaming media, such as video, audio conversations and movies on line, often are transmitted over the Internet. The dominant paradigm for congestion control in the Internet is based on the TCP friendliness. As the load on the network increases, it is critical to find the point at which congestion occurs. When congestion is about to happen, the network should be capable of reducing the rate at which the hosts send the data before the packets start being discarded. Random early detection (RED) algorithm is one such mechanism used at the router to control congestion in the network. It is programmed to monitor the queue length at the specific router. When it detects that congestion is imminent, it notifies the source to adjust its congestion window. The key principle in RED implementation is that, it notifies the source of congestion occurrence by dropping one of its packets. In this paper, we have illustrated the performance of RED and FIFO in the network in terms of end-to-end delay, which is one of the important parameters in the quality of service (QoS) of the network.