A mandrel for holding and positioning an intraocular lens blank during manufacturing includes a shank portion having a central axis and a lens blank holding section configured to hold the lens blank. The holding section includes a central cavity formed concentrically with the central axis of the mandrel. Projections are formed on a surface of the central cavity and are configured to support a first surface of the lens blank at a fixed distance from the surface of the central cavity. A ring fits within a peripheral portion of the central cavity to hold a second opposing surface of the lens blank. A method for making an intraocular lens using the mandrel includes filling the space formed under the first surface of the lens with a liquid, such as water, freezing the liquid, and then machining and/or milling the second surface of the lens blank.