Publishing research data as open data is not yet common practice for researchers in the arts and humanities, and lags behind other scientific fields, such as the natural sciences. Moreover, even when humanities researchers publish their data in repositories and archives, these data are often hard to find and use by other researchers in the field. This report gives an overview of the various aspects that are connected to open access publishing of research data in the humanities. After the introduction, where we give definitions of key concepts, we describe the research data life cycle. We present an overview of the different stakeholders involved and we look into advantages and obstacles for researchers to share research data. Furthermore, a description of the European data repositories is given, followed by certification standards of trusted digital data repositories. The possibility of data citation is important for sharing open data and is also described in this report. We also discuss the standards and use of metadata in the humanities. Finally, we discuss best practice example of open access research data system in the humanities: the French open research data ecosystem. With this report we provide information and guidance on open access publishing of humanities research data for researchers. It will also serve as input for the design and implementation of an open humanities data platform in DARIAH.