Since the traditional tales represent relevant pieces in the intangible cultural heritage of each region, as elements of identity and interconnection between people and territories, it is important to reinvent ways of passing on this oral heritage to the new generations. Considering that the daily life of contemporary generations, especially the youngest, takes place significantly in digital environments, it appears to be a suitable medium for telling traditional tales. As these are tales, digital storytelling is an approach that immediately seems appropriate for this purpose. Regarding the medium, the web is a suitable alternative, thus web storytelling is the concept chosen to perform the adaptation of traditional tales to digital media. As there is no methodology for this purpose, this article proposes a methodology to support the work of adapting a (traditional) story as a web storytelling application. This proposed methodology includes the various stages of the process.