In a deregulated power systems environment, congestion management is one of the technical problem needs to maintain a system as stable condition. One of the objective functions in congestion management is N-1 contingency analysis. Using N-1 contingency analysis find out the worst line outage and analysis that line, maintain the whole system as stable after the line outage. Two types of Methodologies used in congestion Management are non-cost allowed methods and cost allowed methods. In this research work congestion is released by using cost allowed methods considering Flexible AC Transmission System (FACTS) Device such that TCSC (Thyristor controlled series Compensator) and UPFC (Unified Power Flow Controller) devices. The best location of FACTS device like TCSC and UPFC are found by using sensitivity based Eigen value analysis and the performance analysis has been worked out for IEEE14 test bus systems using Matrix laboratory (MATLAB)-Power System analysis toolbox (PSAT). The result shows that the proposed approach has a capability to enhance the Voltage stability, small signal stability and minimize the real power loss in the power systems network. © International Science Press.