A method of preparing adipose tissue for transplantation, from lobular fat extracted, for instance, by liposuction, said fat consisting of a fluid component comprising an oily component, a blood component and/or sterile solutions and of a solid component comprising cell fragments, cells and one or more cell macroagglomerates of heterogeneous size, characterized in that it includes at least one step of washing the cell aggregates carried out at the same time as a step of separating the fluid component, in emulsion form, from the solid component; said step of washing and separating occurring by: - at least one injection of a sterile washing solution into a washing chamber containing the fat material, of a washing and separating container, which washing chamber contains at least one stirring element; - manual or mechanical stirring of said washing and separating container for obtaining 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 remain separate from the solid cell material without the use of enzymes or chemicals, - arrangement of the washing and separating container in a vertical position relative to the floor, with an outlet facing downwards, to obtain a stratification of the solid components on the liquid emulsion which constitute the fat contained in the washing chamber to obtain a solid component composed of cell fragments, cells and one or more cell agglomerates floating on an emulsion of the fluid components in the lower portion of the washing chamber in contact with said outlet of the washing and separating container, - discharge of the emulsion of fluid components from the washing chamber through the outlet of the washing and separating container; - location of the solid component next to the outlet and discharge of the solid component from the outlet, wherein said method is carried out without neither the use of chemicals such as emulsifiers or enzymes, nor in vitro culture steps. - at least one injection of a sterile washing solution into a washing chamber containing the fat material, of a washing and separating container, which washing chamber contains at least one stirring element; - manual or mechanical stirring of said washing and separating container for obtaining 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 remain separate from the solid cell material without the use of enzymes or chemicals, - arrangement of the washing and separating container in a vertical position relative to the floor, with an outlet facing downwards, to obtain a stratification of the solid components on the liquid emulsion which constitute the fat contained in the washing chamber to obtain a solid component composed of cell fragments, cells and one or more cell agglomerates floating on an emulsion of the fluid components in the lower portion of the washing chamber in contact with said outlet of the washing and separating container, - discharge of the emulsion of fluid components from the washing chamber through the outlet of the washing and separating container; - location of the solid component next to the outlet and discharge of the solid component from the outlet,