Superabsorbent polymer particles with improved surface cross-linking and their use in absorbent articles. The superabsorbent polymer particles comprise polymer chain segments, wherein at least a part of the polymer chain segments are covalently cross-linked to each other and wherein at least a part of the cross-links include the reaction product of cross-linking molecules having at least two C═C double bonds and further include the reaction product of radical former molecules. These cross-links are present at surfaces of the superabsorbent polymer particles.