The State of Vietnam continues to show the cumbersome, limited effectiveness of the public sector and the widespread corruption of public servants. Yet, it has been endeavoring to renovate national governance in the direction of good governance to improve the quality of public services to meet the requirements of an increasingly high level of education and social life democratization. Since 2018, the Vietnamese government has been applying the Satisfaction Index of Public Administrative Services (SIPAS) to measure people’s satisfaction with administrative services. This fact has received full attention from scientists, and there have been many studies on this issue. Therefore, this study has explored the impact of good governance on people’s satisfaction with administrative services by employing some variables of the SIPAS scale, including five dependent variables, namely: accessibility; administrative procedures; civil servants’ ethics and capacity; the results of the procedure settlement; the reception and handling of comments, feedback, and recommendations; and an independent variable, namely the people’s satisfaction, to add more evidence to previous studies and enrich the research literature. This study has been conducted through a cross-sectional survey using an intentional sampling technique (n = 500). The multivariate linear regression analysis technique was applied to prove the hypotheses. According to the research findings, all independent variables have a positive and significant relationship with the dependent variable. They imply that good governance initially has positive and significant effects on the Vietnamese people’s satisfaction level.