The invention relates to cyclic peptides having anti-tumoral and anti-angiogenic properties, and to the pharmaceutically acceptable salts thereof and the pharmaceutical compositions containing same. Said cyclic peptides are used in the preparation of medicaments for human and/or veterinary therapeutics and can also be used in diagnostics. Said compounds can be used to detect, monitor and/or control a variety of disorders relating to cellular proliferation, such as oncological diseases and unwanted angiogenesis. Furthermore, they can form part of controlled release systems and systems pertaining to the field of nanobiotechnology, due to the self-assembly capacity thereof and as part of other systems.