This invention relates to novel β-cyclodextrin polysulfate compounds comprising from one to three 2-carboxyethyl substituents, and at least two sulfates groups per glucopyranose unit, which are useful as active ingredients for the treatment and/or prophylaxis of degenerative joint diseases, osteoarthritis, articular rheumatism, arthrosis or degenerative arthritis, or for the treatment of heparin-induced thrombocytopenia, or for cartilage repair or connective tissue repair.