A device for controlling fail-safe of a hybrid vehicle capable of providing fail-safe running by controlling drive of an electric oil pump with a generation voltage of a hybrid starter and generator (HSG) or a drive motor when a main relay may be cutoff due to failure of a high voltage component may include a method having determining whether the hybrid vehicle proceeds to a fail-safe mode due to a main relay opened by failure of a high voltage component during running of the hybrid vehicle or not, detecting a generation voltage of an HSG or a drive motor when the proceeding to the fail-safe mode may be determined, and generating oil pressure by controlling driving of an electric oil pump according to a generation amount of the HSG or the drive motor in running in the fail-safe mode or in a stop state.