This will provided long-term safety and efficacy data for ACZ885 (a fully human anti-interleukin-1β [anti-IL-1β] monoclonal antibody) given as an injection subcutaneously in patients who participated in the CACZ885A2102 (NCT00487708), CACZ885D2201 (NCT00685373) or CACZ885D2304(NCT00465985) studies or newly identified patients with the following cryopyrin-associated periodic syndromes: Familial Cold Autoinflammatory Syndrome, Muckle-Wells Syndrome or Neonatal Onset Multisystem Inflammatory Disease.