A mechanized punch for making cylindrical excision of hair follicles (10) is connected to an electronic instrument (60) and includes a tubular element (11) and a rectilinearly advancing rotary mechanism (20). The rectilinearly advancing rotary mechanism (20) includes a circle-cutting device (21) and a rectilinear movement module (40), in which the circle-cutting device (21) comprises a transmission shaft (22) having a first end connected with a drive element (25) and a second end connected with a chuck (23) so that the chuck (23) is allowed to clamp tight a tubular punch (24). When donor skin (52) is contacted by the tubular punch (24), the electronic instrument (60) actuates the drive element (25) to drive the transmission shaft (22) and the tubular punch (24) for rotation while the linear actuator (44) in the rectilinear movement module (40) drives the circle-cutting device (21) in a rectilinear forward motion until a cylindrical cut (53) of predetermined depth is made on the donor skin (52) by the punch (24).