This article addresses issues regarding the intention of responsible tourism to increase the accessibility of tourist destinations for children with disabilities and their families. The main objective of this research is to identify the barriers that families with disabled children confront during their touristic experiences and to find ways to diminish these barriers. In this respect, qualitative marketing research based on the focus group method was conducted. The research results revealed that the most important barriers faced by such families are attitude barriers, followed by physical barriers and a lack of information. Starting from these results, we proposed the higher involvement of national authorities and other stakeholders in strategies meant to decrease or remove the barriers faced by people with disabilities and their attendants in order to develop responsible tourism. Such strategies could firstly involve the development of a primary school curriculum by including educational programs that are meant to avoid attitude barriers. Secondly, other stakeholders could use new emerging technologies, such as virtual reality, to offer tourists the opportunity to experience some tourism products and places before they travel.