The Gearless flexo printing press which is relative to the traditional one that relies on gears to drive the plate cylinder and the anilox roller to rotate, that is, it cancels the transmission gear of the plate cylinder and the anilox, and the flexo printing unit is directly driven by the servo motor. Middle plate cylinder and anilox rotation. It reduces the transmission link, gets rid of the limitation of the flexo printing machine's product printing repeating circumference by the transmission gear pitch, improves the overprinting accuracy, prevents the gear-like "ink bar" phenomenon, and greatly improves the dot reduction rate of the printing plate. At the same time, errors due to long-term mechanical wear are avoided.