Abstract: A printing press, especially of the offset newspaper printing type, includes an anti-wrinkle roller to function in cooperation with a web of paper being printed by the press. The roller has a pair of sections which are each independently adjustable eccentrically with respect to a common central axis. The roller is mounted transverse to the web. The eccentrically adjustable sections of the roller are manipulative to compensate for uneven tension across the width of the web so as to provide uniform tension and thereby reduce wrinkles produced by uneven tension in the web. Manual adjustment knobs or remotely controlled motors may be alternatively utilized to selectively adjust the eccentricity of the roller sections relative to one another and to the central axis thereof.