We present EusTimeML, a mark-up language for temporal information in texts written in Basque. It is compliant with the TimeML specifications, while offering some adapted attributes and attribute values in order to represent the language-specific features of Basque. In particular, alterations have been carried out for verb tense, aspect and modality coding, as well as for time expression and signal annotation. EusTimeML also provides a major extension to the existing TimeML schemes, since the attributes and values for factuality annotation have been added to the existing temporal information annotation scheme. EusTimeML has been used to annotate the EusTimeBank Corpus, the news and history narratives corpus that has been used as the gold standard in temporal information processing in Basque.