An equipment for transversal perforation, on the fly, of continuous forms in movement (211, 227, 58, 129), comprising a perforating device including at least a perforating blade (209, 223a, 223b), a contrast member (217, 238, 239) defining a contrast surface, a blade servomechanism (214, 236, 237) and a contrast servomechanism (218, 241, 242), in which equipment the perforating blade is mounted on a blade support (208, 233, 234) provided for rotation in condition of interference with the form (211, 227), the contrast member (217, 238, 239) is provided for rotation by the contrast servomechanism in condition of substantially parallelism with the blade support (208, 233, 234) and in which equipment the blade servomechanism is provided for rotating the blade support with the perforating blade (209, 223a, 223b) in synchronism with the form and perforation, in a corresponding operative area, against the contrast surface, said equipment being characterized in that: the contrast member (217, 238, 239) includes an active section or more active sections and an inactive remaining section or more inactive remaining sections; and the contrast servomechanism (218, 241, 242) is provided for rotating the contrast member (217, 238, 239) between a condition of perforation and a condition of non-perforation; in which the inactive section or each inactive section is spaced away, in the use, with respect to the trajectory of the blade, the active section or each active section is positionable in condition of tangency with the trajectory of the perforating blade (209, 223a, 223b) for defining the contrast surface in the operative area; and in which the contrast servomechanism (218, 241, 242), for the condition of perforation, rotates the contrast member (217, 238, 239) with the active section or one of the active sections in the condition of tangency with the operative area and in synchronism with the form (211, 227) while, for the condition of non-perforation, the contrast servomechanism positions the contrast member, at rest or in movement, with the inactive section or one of the inactive sections spaced away from the trajectory of the perforating blade (209, 223a, 223b) in the operative area. the contrast member (217, 238, 239) includes an active section or more active sections and an inactive remaining section or more inactive remaining sections; and the contrast servomechanism (218, 241, 242) is provided for rotating the contrast member (217, 238, 239) between a condition of perforation and a condition of non-perforation; in which the inactive section or each inactive section is spaced away, in the use, with respect to the trajectory of the blade, the active section or each active section is positionable in condition of tangency with the trajectory of the perforating blade (209, 223a, 223b) for defining the contrast surface in the operative area; and in which the contrast servomechanism (218, 241, 242), for the condition of perforation, rotates the contrast member (217, 238, 239) with the active section or one of the active sections in the condition of tangency with the operative area and in synchronism with the form (211, 227) while, for the condition of non-perforation, the contrast servomechanism positions the contrast member, at rest or in movement, with the inactive section or one of the inactive sections spaced away from the trajectory of the perforating blade (209, 223a, 223b) in the operative area.