The method relates to the manufacture of sponge tissue absorbent pellets and fibrous material, from crop residues of maize production. This method optimizes the properties of the targeted and is simple and economical. This method comprises the following steps: (i) cutting the maize stalks planted in the ground of the field below the lowest cob of the stalks, so as the less leafy stalk segments, which are preferably higher than 70 cm, stay on the field; each less leafy stalk segment including a spongy core, a stalk bark wrapping the core and a leafy matter wrapping the stalk bark or born by the stalk; (ii) cutting the less leafy stalk segments as close to the ground as possible; (iii) harvesting the less leafy stalk segments cut in step (ii); (iv) cutting the in step (iii) harvested less leafy stalk segments into stalk sections which largest dimension in mm -preferably their length is comprised between 5-50; (v) providing a mechanical impact to the stalk sections of step (iv) so as to separate their spongy cores from their stalk barks, as well as the leafy matter, to transform said stalk barks into elongated fiber pieces; and to obtain a mix containing: f1. said spongy cores forming the superabsorbent pellets fraction, f2. said elongated fiber pieces forming the fibrous matter fraction, f3. and said leaf matter forming the leafy fraction, (vi) separating the 3 fractions from each other; (vii) recovering the three fractions f1-f2-f3; (viii) possibly reducing the f1 superabsorbent pellets up to a smaller pellet size so as their length be comprised between 0.1-20 mm. The invention also pertains to the superabsorbent pellets and the fibrous material, to compositions and manufactured products including said pellets and/or said fibrous material, as well as the uses of them in the physico-chemical and chemical/ biological treatments of liquids or gases.L'invention concerne un procédé pour la fabrication de granulés d'absorbant en tissu éponge et de matériau fibreux, à parti