A low pressure exhaust gas recirculation (EGR) cooler efficiency diagnosis method for an EGR system includes measuring speed and load of an engine, setting a difference threshold between model temperature and detected temperature downstream of the low pressure EGR cooler according to speed and load of the engine, measuring a pressure difference between upstream and downstream sides of the EGR valve, calculating a mass flow rate of an exhaust gas passing through the low pressure EGR cooler based on the measured pressure difference, calculating the efficiency of the low pressure EGR cooler based on the calculated mass flow rate, calculating the model temperature downstream of the low pressure EGR cooler based on the calculated efficiency, and comparing the model temperature downstream of the low pressure EGR cooler with the detected temperature downstream of the low pressure EGR cooler. A low pressure EGR system is also disclosed.