Abstract: The present application relates to a method for obtaining solid paraffins from vegetable oils and/or animal fats, which is characterized in that the organic oil is preheated to a temperature of between 50 and 100° C. in order to render the oil fluid and for it to be possible to transfer the oil to steps downstream in the method. The oil and the hydrogen are mixed in the pipeline and passed via a furnace in order to be heated to the desired reaction temperature. Inside the reactor, the hydrogen reacts with the oil at the active sites of the catalyst at pressures of between 2 and 11 MPa and temperatures of between 150° C. and 330° C., with an hourly space velocity of between 0.2 and 6 h?1. The catalyst used is of fixed-bed type, composed of molybdenum and nickel oxides supported on alumina that have previously been sulphurized in order to be activated. The hydrotreated product exits via the lower part of the reactor and passes to a level separator.