Improving the quality of tourism public services is essential not only to accelerate the transformation and upgrading of tourism and improve quality and efficiency but also to enhance tourists’ well-being. This study, from the perspective of tourism experience, constructs a multiple intermediary model of the influence of tourism public service quality on tourists’ well-being. Structural equation and Bootstrap methods are used to test the model. The results reveal that, experience value positively mediates the impact of information communication service quality and administrative supervision service quality on eudaimonia enjoyment and the impact of information communication service quality, security service quality and administrative supervision service quality on hedonic enjoyment; experience satisfaction positively mediates the impact of information communication service quality and administrative supervision service quality on both eudaimonia enjoyment and hedonic enjoyment; the alternative attractiveness negatively moderates the impact of public facilities service quality, convenience and benefit service quality, and administrative supervision service quality on experience value and the impact of public facilities service quality and convenience and benefit service quality on experience satisfaction. This study integrates the dual structure of subjective well-being and psychological well-being and expands the research on tourists’ well-being. Additionally, it defines the psychological mechanism and boundary conditions of the influence of tourism public service quality on tourists’ well-being, providing important enlightenment for improving tourism public service quality and enhancing tourists’ long-term well-being.