It is an object of the present invention to provide a sheet-fed printing press that prevents occurrence of troubles, such as damages of a surface treatment member such as a film for the surface treatment of, for example, a sheet of paper, by a simple structure. A gripping surface of a claw block provided in a cylinder of a treatment section is formed into an inclined surface that comes closer to the rotational axis as it advances downstream in a sheet conveying direction of the cylinder, so as not to have the gripper of the cylinder contacting the treatment means. A gripping surface of a claw block provided in a cylinder most adjacent to the treatment section, of plural cylinders, is formed into an inclined surface that, projects further through an outline of this cylinder as it advances downstream in the sheet conveying direction. A gripping surface of a claw block provided in the cylinder closest to a printing impression cylinder is formed into an inclined surface inclined at an angle smaller than the inclined angle of the gripping surface of the claw block of the cylinder provided in the treatment section.