A mechanized punch for making cylindrical excision of hair follicles is connected to an electronic instrument and includes a tubular element and a rectilinearly advancing rotary mechanism. The rectilinearly advancing rotary mechanism includes a circle-cutting device and a rectilinear movement module, in which the circle-cutting device comprises a transmission shaft having a first end connected with a drive element and a second end connected with a chuck so that the chuck is allowed to clamp tight a tubular punch. When donor skin is contacted by the tubular punch, the electronic instrument actuates the drive element to drive the transmission shaft and the tubular punch for rotation while the linear actuator in the rectilinear movement module drives the circle-cutting device in a rectilinear forward motion until a cylindrical cut of predetermined depth is made on the donor skin by the punch.