The analysis of the social perception of citizens and evaluations of the impact of sport tourism and their support for tourism development can be of great use in the formulation of policies aimed at social cohesion and local development. These actions favor social participation and inclusion, equal opportunities, and more positive attitudes towards sports tourism and inclusive sport. This study aims to analyze the perception and predisposition towards the support of citizens on the impact of sport tourism from a multidimensional perspective. Specifically, this study evaluates the social perception on four measures: social impact, cultural impact, environmental impact, and local policies. The sample of this study is composed of 607 people living in Gran Canaria. A survey with two scales were used, one on the perception of the social, cultural, environmental, economic, and political-administrative impact and the other was on the predisposition to support the development of sport tourism from the perspective of sustainable and inclusive social development. Using the partial least square methodology, the results show that all the study variables were significant except for social impact. It is concluded that there is a favorable social perception towards sport tourism. The results of this study might have a effect on the planning of the tourism sector in Gran Canaria as well as on the policies and regulations governing this activity.