Support structure for light-weight construction elements which is consisting of elongate strips (10; 110; 210) of a strong material, wherein each strip (10; 110) is provided with slits (14) starting out from one of its longitudinal edges (12), the width of which is slightly larger than the thickness of the material and, wherein alternatingly in the longitudinal direction of the strip (10; 110; 210) the slits (14) are diagonally extending forwardly and diagonally backwardly and, wherein the individual strips (10; 110; 210) by means of the slits (14) are inserted into each other in such a way that the longitudinal directions of the strips (10; 110; 210) inserted into each other each are perpendicularly positioned with respect to each other, as well as a method for producing such a support structure.