The invention relates to a method for separating adult stem cells from fatty tissue, wherein the fatty tissue is mixed with a fluid and the stem cells are subsequently separated. The fatty tissue with fat cells and adult stem cells is exposed to a fluid jet (38) having a pressure adjusted such that the adult stem cells are separated from the fat cells and the adult stem cells are separated from the fat cell-stem cell-fluid mixture. A container (12) is provided for receiving fatty tissue removed from a biological structure, which includes fat cells (62) and adult stem cells (64), wherein the container (12) has a feed device (28) for a pressurized fluid and the feed device (28) includes an outlet the arrangement (30) for the fluid which is introduced or can be introduced into the fatty tissue.