Provided are a method for controlling errors of an Internet fax data according to the statue of a network by using a receiver report (RR) message in a real-time transport control protocol (RTCP) and a gateway to which the method is applied. Therefore, transmission errors are reduced and a transmission speed of a fax data is improved in transmitting a fax data over the Internet. The provided method includes receiving a T.38 fax data for analyzing a predetermined QoS motoring data of the T.38 fax data and generating status information, transmitting the status information to a gateway which has transmitted the T.38 fax data, receiving the status information for analyzing a packet loss of the transmitted T.38 fax data based on the status information, and increasing or decreasing a secondary message sequence length based on an analysis result. The provided method can control errors of a T.38 packet in real time, according to the status of a network, in transmitting a T.38 fax data over the Internet. Therefore, the performance of an error control improves, thereby securing a stable communication and improving a transmission speed. As a result, a communication speed increases so that transmission efficiency improves.