In this paper, the authors propose a method for mapping QoS (quality of service) guarantees between ISs (integrated services) and DSs (differentiated services) in the Internet environment. Based on the existing classification, this paper gi v es the mapping rules and relations between IS and DS, data flows and PHBs (per h op behaviors) according to different media streams. As the crux of mapping, mark ing is divided into two phases: pre-mark and mark. The pre-code marked in IS c onveys characteristics of individual flow into DS. According to this pre-code, boundary routers in DS remark packets and map it to relevant PHB. The authors al so propose a marking algorithm which is based on the TCA (traffic condition agre ement), taking account of the requirements of traffic control and fair link shar ing among different application traffics.