Failure Mode and Effects Analysis (FMEA) is a design tool that mitigates risks during the design phase before they occur. Risk is measured in terms of Risk Priority Number (RPN), which is the product of occurrence, severity and detection difficulty. The priority of the problems is articulated via the RPN. After the RPN has been determined, the evaluation begins based on the definition of the risk (Stamatis 1995). It has some limitations and problems when there is a disagreement in the ranking scale and if there are more than two failures with the same RPN. This paper presents a new approach for the evaluation of risk priority in Potential FMEA to overcome the short comings in the traditional FMEA technique.