The work aims to study influences of interleaving between odd and even layers on the cushioning performance of corrugated paper fiberboard. The single corrugated paper fiberboard was staggered in the interleaving manner between odd and even layers to multi-layer samples with the interleaving angles of 0º, 30º, 45º, 60º and 90º, respectively. The in-plane and lateral cushioning properties of the multi-layer corrugated paper fiberboard were studied under in-plane static compression, lateral static compression and in-plane impact loadings. In comparison with the multi-layer single corrugated paper fiberboard with the interleaving angles of 0º, under in-plane static compression, the interleaving between odd and even layers made the initial peak stress, plateau stress, densification stain energy per unit volume and densification specific absorption energy of multi-layer single corrugated paper fiberboard increase by 4.15%~9.38%, 6.49%~10.39%, 5.00%~7.94% and 7.43%~10.81%, respectively. Under the lateral compression along the corrugated direction, the compressive strength and plateau stress were reduced by 1.18%~14.34% and 0.89%~20.66%, respectively, while the densification specific energy absorption and plateau strain energy per unit volume were related with the interleaving angles by the law of approximate quadratic function relationship. Under in-plane impact loadings, the total energy absorption was approximately linearly with the impact energy for a given interleaving angle. Interleaving between odd and even layers at a certain angle can improve the in-plane cushioning performance of corrugated paper fiberboard and reduce its lateral compression performance along the corrugated direction.