Abstract: A machine for tapering pipe ends with different diameters including a feeding conveyor, a platform, a gripping mechanism mounted at one side of the feeding conveyor and mounted on the platform, the gripping mechanism including a frame provided with two vertical racks, a horizontal rack between lower ends of the vertical racks, an upper clamp slidably mounted on an upper portion of the two vertical racks, a lower clamp slidably mounted on a lower portion of the two vertical racks, a first hydraulic cylinder installed on a top of the frame and drivingly connected with the upper clamp, a second hydraulic cylinder mounted on one vertical side of the frame and drivingly connected with a lower sliding wedge, an upper sliding wedge arranged on the lower sliding wedge, an axle mounted on a rear side of the frame and connected with an arm, a third hydraulic cylinder mounted on the platform and connected with an end of the arm, another end of the arm being connected with a triggering rod ad a sensor, and a head stock m