The storage of fruits and vegetables at low temperature near the freezing point is the foremost technology applied to retard postharvest ripening and to extend the shelf-life period of agricultural products. However, most tropical and subtropical produce is sensitive to chilling injury, which constitutes a set of physiological alterations caused by exposure to low temperatures for variable time periods, to the detriment of quality. This article is a thorough review of the physiological, hormonal and molecular mechanisms involved in the induction and development of this physiopathy. Also, the different postharvest technologies of a chemical, physical or biotechnological nature assayed in research or applied in the agro-food industry with the aim of inhibiting or delaying the emergence of chilling injury in sensitive plant produce of agricultural interest are reviewed.