Most museums nowadays tend to provide high quality service to promote customer satisfaction and sense of commitment so as to build up a good relationship with visitors and increase their willingness to revisit. Therefore, to measure customer loyalty has become an important task. This study was to investigate the relationship among service quality, relationship quality, and customer royalty who had visited the CHIMEI Museum. There were 250 visitors visiting the CHIMEI Museum in Taiwan were selected as the sample for the research. Questionnaire survey was adopted in this study to analyze by means of statistical methods such as descriptive statistics, correlation analysis, as well as multiple regression analysis. The result shows that the service quality, the relationship quality and the customer relationship are evidently related to one another; the service quality is significantly predictive to the customer royalty; the relationship quality is significantly predictive to the customer royalty; the service quality is significantly predictive to the relationship quality; and the relationship quality is predictive to the customer royalty. This study reveals the royalty of visitors can be predicted by the service quality and relationship quality of the Museum. Finally, according to the empirical results, we gave CHIME museum suggestions for reference.