The present invention relates to a process for obtaining a triglyceride-rich refined avocado oil. The invention also relates to the triglyceride-rich refined avocado oil which can be obtained by means of this process. Advantageously, the refined avocado oil according to the invention contains a sterol-enriched unsaponifiable fraction. Advantageously, the refined avocado oil according to the invention is substantially free of acetogenins and furanic lipids. The invention also relates to compositions containing such an oil. The invention also relates to such compositions for their use as a medicament, as a dermatological agent, as a cosmetic agent or as a nutraceutical agent, to be used humans or animals.