The confirmed involvement of the neuropeptide calcitonin gene-related peptide (CGRP) in the pathophysiology of migraine has led to the development of treatments, which for the first time are specific to migraine and mechanism based, in contrast to repurposed traditional prophylactic anti-migraine medications. Thus, in the last 5 years, the European Medicines Agency (EMA) approved four monoclonal antibodies that target either the CGRP ligand (eptinezumab, fremanezumab, and galcanezumab) or the CGRP receptor (erenumab). These anti-CGRP therapies are indicated for use in people with migraine who have more than 4 migraine days per month. In this consensus article, the Hellenic Headache Society highlights the indications and treatment protocols of these novel anti-migraine therapies, aiming to assist Greek neurologists in the optimal management of people with migraine. The recommendations are based on data from phase 3 randomized-controlled clinical trials, the recent European Headache Federation (EHF) recommendations, a consensus article under the auspices of both the EHF and the European Academy of Neurology (EAN), recent real-world evidence studies, and the authors’ acquired clinical experience.