A method for preparing adipose tissue for transplantation of lobular fat removed, 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 cell fragments , cells and one or more heterogeneous cellular macroagglomerates, characterized in that it includes the steps of: - providing a separation and washing vessel (1) having a washing chamber (101) for washing the liposuctioned material, whose container (1 ) has an inlet (102) and an outlet (103) for the liposuctioned material to enter the washing chamber (101) through the inlet (102) and for at least part of said material, particularly the component of fluid, leave said chamber (101) through the outlet (103), said washing chamber (101) containing at least one stirring element (104)； - providing means (3) for size reduction consisting of at least one series of parallel or intersecting sheets or cables forming at least one size reduction network located in said separation and washing container (1) and / or a size reduction container (2), - injection of the liposucted material into said separation and washing container (1), - injection of a sterile washing solution into the washing chamber (101) of the container (1) of separation and washing, - dividing said fat into cell agglomerates smaller than said macro agglomerates, so that said cell agglomerates are as large or smaller than a predetermined size, and so that on average they have the same size, whose reduction stage in size is carried out by having said lobular fat removed pass at least once through said size reduction means (3), - manual or mechanical agitation of the container (1) separating and washing 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 remain separated from the solid cellular material without the use of enzyme
