The number of treatments with donated oocytes has risen markedly in Denmark during the latest decade due to changes in legislation and because female age is increasingly advanced when fertility treatment is warranted. Today, oocyte donation is a standard procedure offering the otherwise untreatable a high chance of achieving a pregnancy. Live birth rates as high as 35% per treatment are being reported. It is, however, important to be aware of increased risks of hypertensive disorders and bleeding complications in these pregnancies. As pointed out in this review, continuous research in the field is therefore highly needed.