This paper presents a finite element analysis to evaluate thermal conductivity of FRP (Fiber Reinforced Polymer) retrofit system in reinforced concrete structure. Especially, this paper focused on near-surface-mounted retrofit method; FRP is mounted into the groove after making a groove in concrete. Midias-FEA program was used to analyze the case that the epoxy was covered by various board to resist fire such as, calcium silicate or alumino silicate board. Analysis results give that the prediction of temperature transition from surface is possible by FE analysis and the result can be used to evaluate fire resistance of certain fire proof materials in FRP retrofit system.