A device for the deposition of adipose tissue, comprising: a) a syringe for grafting the tissue, b) a system for controlling the advance of the plunger of the syringe, which receives information about the movement of the syringe in the direction of withdrawal from an external system for detecting the movement of the syringe, and c) an external system for detecting the movement of the syringe. The control system determines the advance of the plunger of the syringe on the basis of the movement of the syringe in the direction of withdrawal and on the basis of the quantity of adipose tissue per unit of length of deposition. The advantages deriving from the use of this device in lipomodelling (or fat grafting) are in an automatic control of deposition of the adipose tissue and a correct uniformity of the graft.