A method and device for effecting automatic centering of an annular workpiece on a rotating surface having a rotational center involves arbitrarily positioning the workpiece on the slowly rotating surface, applying a support for the workpiece by way of spaced apart contact members that individually contact the workpiece and are synchronously movable in a guided reciprocating manner towards and away from the rotational center of the rotating surface. The contact members are gradually retracted away from the rotational center of the rotating surface until the workpiece is unaffected by the contact members during one revolution of the rotating surface so that the workpiece is centered, and the center of the workpiece coincides with the rotational center of the rotating surface. At least one of the contact members is provided with a mechanism for counteracting a friction force acting on the workpiece.