The main aim of the article was to present two emerging discourses of contemporary historiography in the field of digital media. In the first example, the authors present the thought of Niels Brügger, called the Web History and Web-minded historiography, which concentrates upon the digital source itself. The other school is marked by the works of Friedrich Kittler and Wolfgang Ernst, and called media archaeology. It underlines the concept of the medium itself as a primary object of research.