Abstract: The invention relates to a process for preparing mucopolysaccharides having high anti-thrombotic activity compared to heparin. The mucopolysaccharides are obtained from a mucopolysaccharide composition having high anti-thrombotic activity and a ratio of YW/USP Titer higher than that of heparin by fractionation to remove, selectively, the mucopolysaccharide chains having less than six saccharide units.