A method of preparing adipose tissue for transplantation of lobular fat extracted, for example, by liposuction, said fat consists of a fluid component comprising an oily component, a blood component and / or sterile solutions and a solid component comprising fragments Cells, cells and one or more macro heterogeneous cell agglomerates, characterized in that it includes at least one stage of washing of the cellular aggregates carried out at the same time as a step of separation of the fluid component, in the form of emulsion, of the component solid; said washing and separation step occurring: - at least one injection of a sterile washing solution into the washing chamber (101) containing the grease material, of a separation and washing vessel (1), whose chamber ( 101) wash contains at least one stirring element (104); - manual or mechanical agitation of said separation and washing vessel (1) to obtain an emulsion of the fluid components, such as blood fluids, blood residues, oils and other solutions contained in the liposuctioned material allowing said fluids to be maintained separated from the cellular solid material without the use of enzymes or chemicals, - arrangement of the separation and washing vessel (1) in a vertical position in relation to the floor, with an outlet (103) that is oriented downwards, to obtain a stratification of the solid components on the liquid emulsion that constitute the fat contained in the washing chamber (101) to obtain a solid component composed of cell fragments, cells and one or more cell agglomerates that float on an emulsion of the fluid components in the part bottom of the washing chamber (101) in contact with said outlet (103) of the separation and washing vessel (1). - discharge of the emulsion of fluid components from the washing chamber (101) through the outlet (103) of the separation and washing vessel (1); - location of the solid component near the outlet (103) and discharge of the solid component of the outlet (103), in wh