Abstract: Flexographic printing press for printing on the corrugated board sheets passing between the printing cylinder provided with a form plate on its peripheral surface and the receiving roll. Flexographic ink stored between a doctor roll and an anilox roll, which are rotated in the opposite directions as these rolls contact each other, is supplied to said form plate via said anilox roll to thereby carry out a printing operation. Said anilox roll is driven by said printing cylinder at same peripheral speed. Said doctor roll is driven by a speed change drive mechanism for reducing the peripheral speed of said doctor roll when the rotational speed of said anilox roll is increased, and increasing the peripheral speed of said doctor roll when the rotational speed of said anilox roll is decreased.