Red archival data governance is the way to inherit the red gene in the era of big data, and is also a new mission given to the archivists in the new era. Based on the time span expansionof the concept of red archives, this paper further clarified the proper meaning of the concepts of red archives, red archival data and their governance. Red archival data governance faces the triple dilemma of multiple and heterogeneous data fences, institutional barriers and public acceptance problems. To get rid of the dilemma, the governance principles should be followed by unifying regulations and standards, mining data value, optimizing service experience, and inheriting the red gene, and a common platform for sharing red archival data resources should be built. It is believed that a governance road that covers the linkage between one data governance subject and another, data and data, data governance subjects and data, data and the public will be explored.