As a competition is introduced in the electricity supply industry, a congestion problem arises in the transmission network. The congestion causes the transmission cost to increase. One way to decrease the congestion cost is to control the transmission flow through the installation of TCSC(Thyrister Controlled Series Capacitor). This paper deals with the optimal site of the TCSC for reducing the congestion cost using a shadow price which is one of the economic signals for the systems. Test results show that the site of the TCSC is optimal to minimize the congestion cost by the proposed algorithm.