Nuclear criticality safety represents a unique safety concern in the field of non-reactor nuclear fuel cycle facilities. The safe and stable operation and sustainable development of non-reactor nuclear fuel cycle facilities must be grounded in ensuring nuclear criticality safety. To guarantee nuclear criticality safety in these facilities and minimize the likelihood of nuclear criticality accidents, both advanced process safety designs and rigorous safety management are essential. The currently effective regulations and standards for nuclear criticality safety management of fissile materials outside reactors were issued relatively early, necessitating a reevaluation of their applicability, effectiveness, and completeness. This paper, through a comparison of Chinese and international regulations and standards related to criticality safety, an analysis of the causes and lessons learned from historical nuclear criticality accidents, and in consideration of current research progress and applications in criticality safety technology, offers suggestions for improving criticality safety management in Chinese non-reactor nuclear fuel cycle facilities. These suggestions encompass three aspects: classification of criticality safety positions, timely updating of criticality safety regulations and standards, and strengthening research efforts in criticality safety technology.