There is disclosed a cross corrugated fiberboard having at least one layer of corrugations running in a longitudinal direction. A method and apparatus for making such a cross corrugated fiberboard is disclosed which first produces a single-wall corrugated fiberboard having a transversely corrugated fiberboard member glued between upper and lower facings which are offset from each other. The intermediate product is cut into pieces of a length equal to the desired width of the finished product, and these pieces are glued together seriatim with their corrugations in a longintudinal direction by the use of the offset portions of the facings. Additional layers of transversely corrugated single-faced or other type corrugated fiberboard may be built up on the longitudinally corrugated layer to make many continuous cross corrugated fiberboard products.