This article studies the relationship between the copper layer thickness of the outer conductor of superconducting cavity input coupler and the heat leak.We compared copper coatings of 10,20,30 m respectively of 325 MHz coupler through high power test and aimed to find the optimum thickness of the copper plating layer in order to decrease the cryogenic heat load . The experimental results show that 20 m layer has lower dynamic heat leak. Considering both static heat leak and dynamic heat leak, the 20 m thickness of copper layer is the optimum one.