A method and apparatus (1) for making specific absorbent structures with an absorbent layer with absorbent material (100) with therein substantially longitudinally extending strips that are free of absorbent material (100), using or having thereto a moving endless surface (30) with receptacle(s) (33) with specific longitudinally extending rods (36); and specific absorbent structures obtained therewith, suitable for absorbent articles, such as diapers and sanitary napkins.