Disclosed is an extraction process for the recovery of soluble raw-material-specific oil or fat substances from plant or animal organic raw materials under high pressure, in which at least one supercritical gas having a predetermined pressure of maximum solubility for said soluble substances is used as a solvent, and one or more high-pressure vessels are filled with the organic material, sealed and then submitted to a pressure of more than 800 bar, subsequently the supercritical gas is passed at least once through the or each filled highpressure vessel in an extraction stage, without admixing any additional entrainer to the supercritical gas, subsequently the laden supercritical gas is completely or partly supplied to a separating stage in which natural substances or substance mixtures are separated or separated of each other while decreasing the pressure, characterised in that an operating pressure of 1200 bar to 5000 bar is selected in the extraction stage, and the pressure in the extraction stage is adjusted to a pressure that exceeds said predetermined pressure of maximum solubility of the raw-material-specific oil or fat in the supercritical gas by at least 10 percent, the respective raw-material-specific oil or fat acting as entrainer and extraction is carried out.
