The definition of digital humanities (DH) is not simple and is debated among scholars. Here are a few definitions:

"Digital humanities is an area of scholarly activity at the intersection of computing or digital technologies and the disciplines of the humanities." (Wikipedia)

"Digital Humanities is a nexus of fields where scholars use computing technologies to investigate the kinds of questions that are traditional to the humanities, or, as is more true of my own work, ask traditional kinds of humanities-oriented questions about computing technologies.” (Kathleen Fitzpatrick, Director of Digital Humanities and Professor of English at Michigan State University)

See also, Chapter 1: "Defining Digital Humanities." In Debates in the Digital Humanities. 

What is Digital Humanities.