The present invention comprises cyclic peptides bearing antitumor and antiangiogenic properties, as well as their corresponding pharmaceutically-suitable salts and also pharmaceutical compositions containing it. These cyclic peptides are used to prepare medicines for human and/or veterinary therapeutics, and additionally in diagnosis. These compounds can be used to detect, monitor and/or control a range of cellular proliferation-related disorders, such as oncological diseases and undesired angiogenesis. Moreover, they can be included as part of controlled release systems, and used more precisely in the field of nanobiotechnology, either because of their self-assembly capacity or as part of other systems.