A process for preparing lipids which contain docosahexaenoic acid (DHA) and/ or docosapentaenoic acid (DPA) is disclosed. The process includes the steps of cultivating in a medium a microorganism of genus Ulkenia having the ability to produce lipids containing docosahexaenoic acid and/or docosapentaenoic acid, and recovering said lipids from a culture. The process may further comprise the step of separating the docosahexaenoic acid and/ or docosapentaenoic acid from the lipids.