The present invention relates to a land stabiliser structure, constituted by an original sheet (1) of mesh extruded in synthetic plastics material having rigid drawn forms (3A) with respect to one of its faces, surrounded by areas (4) of original sheet which have not been drawn and which define continuous strips running in the transverse direction of said original sheet (1). Areas having rigid drawn forms (3A) are indeformable by flexion and areas (4) of the original sheet which have not been drawn are deformable by flexion, allowing rolling-up of the structure. The rigid drawn forms may be elongated in the transverse direction of the original sheet (1), or may be non-continuous and distributed in lines and columns. Alternatively, the non-continuous rigid drawn forms may be staggered, and the sheet (1) of extruded mesh may be divided into panels, in which case the structure may not be rolled-up.