A plasma selective catalytic reduction (SCR) system according to an exemplary embodiment of the present invention includes: an exhaust pipe connected to an engine to communicate exhaust gas; a plasma burner installed in a first bypass line connected to the exhaust pipe, and configured to supply fuel to discharged plasma and form flame; a urea solution injector installed in the first bypass line at a rear side of the plasma burner, and configured to inject a urea solution to exhaust gas heated by the flame and generate ammonia; and an SCR catalyst installed in the exhaust pipe at a rear side of the urea solution injector, and configured to reduce a nitrogen oxide included in the exhaust gas with the ammonia.