Searching for printable metallic materials is of great importance. In recent years, several kinds of printable alloys have been researched, such as Ti-6Al-4V, FeMnCoCrNi, stainless steels, and some refractory high-entropy alloys (RHEAs). In spite of these delightful results, the development in additive manufacturing of RHEAs is proceeding slowly. Because of the excellent behavior of RHEAs at high temperatures, more requirements are proposed for the complex shape forming. This review primarily introduced the recent studies on additive manufacturing of RHEAs. The laser beam-based, electron beam-based, and wire-based additive manufacturing techniques for fabrication of RHEAs were summarized. In addition, the opportunities and challenges of the current development of RHEAs fabricated by additive manufacturing were discussed.