With the development of big data technology, an increasing number of ordinary people can handle the big data processing and are increasingly involved in emergency cross-border governance. The big data technology promotes changes of the ethical value goal and method of emergency cross-border governance. The big data provides technical support for multi-subject participating in the cross-border management of emergencies, meanwhile，it leads to a series of ethical anomie phenomena, such as the lack of moral responsibility, the dislocation of the sense of integrity and the interference of the subject’s moral conflict in the operation of cooperative governance. This paper summarizes the ethical anomie phenomenon of cross-border governance, analyses the reasons, and puts forward some suggestions on the practical models of humanistic governance, cooperative governance and shared governance to rebuild the cross-border ethical order.