The Internet accommodates simultaneous audio, video and data traffic. It requires the Internet to guarantee the packetloss which at its turn depends very much on congestion controls. A series of protocols have been introduced to supplement theinsufficient TCP mechanism controlling the network congestion's. CSFQ was designed as an open-loop controller to provide the fairbest effort service for supervising the per-flow bandwidth consumption and has become helpless when the P2P flows started todominate the traffic of the Internet. Token-Based Congestion Control (TBCC) is based on a closed-loop congestion control principles,which restricts token resources consumed by an end-user and provides the fair best effort service with O(1) complexity. As Self Verifying Re-feedback and CSFQ, it experiences a heavy load by policing inter-domain traffic for lack of trusts. In this paper, StableToken-Limited Congestion Control (STLCC) is introduced as new protocols which appends inter-domain congestion control to TBCCand make the congestion control system to be stable. STLCC is able to shape input and output traffic at the inter-domain link withO(1) complexity. STLCC produce a congestion index is pushes the packet loss to the network edge and improves the networkperformance. At last, the simple version of STLCC is introduced. This version is deployable in the Internet without any IP protocolsmodifications and preserves also the packet datagram.