Turbulent political and economic changes in 1989 caused the gradual decline of the mining industry in the Slovak Republic. Abandoned territorial localities were created, affected by mining activity, without any use with devastated mining objects, or even a certain form of environmental burden. These territorial locations used for mining in the past, unused currently, in varying degrees of devastation, are referred to as mining brownfields. This issue is topical, as there is constant urbanization of new territories. Mining brownfields often represent a certain form of territorial reserve to support tourism development. The present study deals with identifying the tourist potential of the Fedö shaft mining brownfield in the Červenica—Dubník area (Slovakia), which is included in the list of national cultural monuments. The study points out the need for reclamation from the point of view of supporting the development of a tourist destination based on the accessible mining brownfield—the Jozef tunnel—making it possible to use the interaction links of both mining brownfields in the investigated area of tourism. Based on the results of the conducted SWOT analysis, the study presents the quantification of the tourism development support potential of the analyzed mining brownfield. It also includes selected environmental, social, and economic aspects of the reclamation, and the definition of an effective strategy for usage of the examined mining brownfield as a tool to support tourism development. The article concludes a model of effective management of the use of mining brownfields in the field of tourism in Slovakia, which is constructed as open and modifiable in its interaction with the specification of diverse conditions of tourist destinations with integrated mining brownfields, which include old mine works.