With the advent of globalization and Service economy, People on the increasing requirements of service quality. The government is how to improve the quality of public sector services, provide "good convenient service” for the people has become a subject worth exploring. This study used the L township office as a case, applies Failure Mode and Effect Analysis (FMEA) to understand the possible failures and their consequential un-satisfaction that public officials might generate in interactions and service performance of the government agencies. This study identified the counter-measure execution priority via ranking of the risk priority number (RPN) through systematic evaluation of the severity, managing system is used to cultivate and improve the core competitiveness of the organization. A way to satisfy customers by corrective, preventive measures and continuous evaluation was also developed. In the end, the results of this study found there were certain preventive mechanism effects by applying FMEA on public-service systems. The FMEA techniques could decrease service failure and ensure failure prevention and initiate service improvements to effectively promote customer satisfaction.