In a carrier system, a chuck unit is used to hold a placed wafer from above, and vertical-motion pins use suction to hold the wafer from below. Then, the chuck unit and the vertical-motion pins are subsequently lowered until a bottom surface of the wafer comes into contact with a wafer table. During the lowering, the holding force exerted by the chuck unit and the arrangement of chuck members are optimally adjusted such that, as a result of the restraint of the wafer by the chuck unit and the vertical-motion pins, localized surplus-restraint is imparted to the wafer, and warping does not occur.