The invention provides antibodies binding to TWEAK, including anti-TWEAK antibodies comprising a heavy chain variable domain CDR3 (CDR3H) selected from the group consisting of SEQ ID NO: 8, 16 or 24. The invention provides anti-TWEAK antibodies which are useful for the treatment of cancer, autoimmune diseases, rheumatoid arthritis, psoratic arthritis, muscle diseases, e.g. muscular dystrophy, multiple sclerosis, chronic kidney diseases, bone diseases, e.g. bone degeneration in multiple myeloma, systemic lupus erythematosus, lupus nephritis, and vascular injury.