Driving apparatus of a surgical instrument suitable for being connected to such a driving apparatus by a driven shaft, in turn suitable for being driven by a drive shaft, comprising: - driver means of driving the surgical instrument by means of the drive shaft; - power supply means of the driver means; - control means of the driver means; - a casing suitable for containing the driver means, the power supply means and the control means and which comprises an ergonomic grip for manipulating the appliance, the control means being integrated in a wall of the casing, - an interconnection device of the drive shaft and the driven shaft, with a proximal end and a distal end; - isolation means between the drive shaft and driven shaft and thus, at least partially, of the interconnection device between these two shafts (50, 60), intended to avoid any direct contact between the drive shaft and the driven shaft, so as to prevent the propagation of any accidental contamination from the drive shaft to the driven shaft and thus to the surgical instrument; - wherein the casing is suitable for being sterilised before inserting in it the driver means, the power supply means and the control means, and thus before its use, and - wherein such casing is removable and interchangeable, characterised in that: - the isolation means consists of a chamber impermeable to pathogens, which defines an inner space, through cooperation of a proximal transversal wall, of a distal transversal wall and of an axial wall, which is intended to be arranged at least partially around the interconnection device and which comprises a proximal ring and a distal ring ensuring sealing, respectively, of a proximal axial opening and a distal axial opening arranged, respectively, in the proximal transversal] wall and in the distal transversal wall of the impermeabilisation chamber. - driver means of driving the surgical instrument by means of the drive shaft; - power supply means of the driver means; - control means of the driver means; - a casing suitable for containing the driver means, the power supply means and the control means and which comprises an ergonomic grip for manipulating the appliance, the control means being integrated in a wall of the casing, - an interconnection device of the drive shaft and the driven shaft, with a proximal end and a distal end; - isolation means between the drive shaft and driven shaft and thus, at least partially, of the interconnection device between these two shafts (50, 60), intended to avoid any direct contact between the drive shaft and the driven shaft, so as to prevent the propagation of any accidental contamination from the drive shaft to the driven shaft and thus to the surgical instrument; - wherein the casing is suitable for being sterilised before inserting in it the driver means, the power supply means and the control means, and thus before its use, and - wherein such casing is removable and interchangeable, - the isolation means consists of a chamber impermeable to pathogens, which defines an inner space, through cooperation of a proximal transversal wall, of a distal transversal wall and of an axial wall, which is intended to be arranged at least partially around the interconnection device and which comprises a proximal ring and a distal ring ensuring sealing, respectively, of a proximal axial opening and a distal axial opening arranged, respectively, in the proximal transversal] wall and in the distal transversal wall of the impermeabilisation chamber.