A rotary screen printing press includes: a screen plate; a squeegee; squeegee supporting means for supporting the squeegee; and a worm and a worm wheel. The squeegee supporting means includes: a supporting plate swingably supported and supporting the worm and the worm wheel; an eccentric sleeve configured to adjust the position of the center of swinging movement of the supporting plate; and a contact surface and a screw configured to limit the direction of the movement of the supporting plate. The eccentric sleeve and the contact surface and screw cooperate with each other to move the tip of the squeegee along the tangent line of an impression cylinder at a position at which the screen plate and the squeegee contact each other.