While scholars have been peripatetic since the creation of the very first universities, a phenomenon of more recent years is the mobility of education, where it is the educational provision rather than the scholar that crosses national borders. This is termed "transnational" or "cross-border" education. Attendant on this new phenomenon is the need to ensure the quality of this education. At present, some countries are more commonly the source of transnational education, whereas others are more commonly recipients. This paper presents the quality assurance procedures for transnational education that are used by one nation (Australia) that is mainly a provider, and concludes with an outline of the extent to which the Australian Universities Quality Agency complies with the UNESCO/OECD Guidelines on Cross-Border Education.