Headache is a frequently disabling disorder, which occurs in about 30% of the adult population, particularly in overweight/obese women. Aim of the study is to modify the nutritional habits of the patients and to evaluate the effects of a low lipid intake vs. a normal lipid diet on the incidence and severity of migraine crises. Moreover vascular reactivity will be evaluated in a randomly selected subgroup of patients. This randomized, cross-over intervention trial will be performed in about 150 patients, affected by migraine. Adherence to the diet, particularly regarding energy intake, percent of energy from lipids, carbohydrates and proteins will be carefully assessed at baseline and during the 2 intervention periods