Abstract: The widely used corrugated sandwich structures enjoy many advantages over other lightweight porous structures due to their simple configurations, mature manufacturing technologies and low manufacturing cost. This paper presents a comprehensive review of different configurations and representation modes of lightweight corrugated structures, and their fabrication and non-destructive testing technologies. Quasi-static and dynamic mechanical responses of corrugated sandwich structures are reviewed with emphasis on compression, bending, internal pressure, vibration, low velocity impact and blast loading. With respect to multifunctional characteristics, the key developments in engineering applications are summarized.