Method for machining a face of an optical object, comprising a step of providing a machine tool which itself comprises: - a table for mounting an object that is to be machined, this table, which comprises a receiving surface, being angularly orientable about an axis transverse to the receiving surface; - a machining tool with a spherical bearing surface and an arbour designed to drive this machining tool in rotation about an axis substantially parallel to the receiving surface of the table and designed to move this machining tool translationally in a plane substantially parallel or perpendicular to the receiving surface of the table; this method being characterized in that it further comprises the following steps: a) fixing a support to the table so that this support projects transversely to the table; b) fixing the optical object that is to be machined to the support so that the said face that is to be machined is positioned transversely to the receiving surface of the table; c) machining the said face using the machining tool along a path substantially parallel to the receiving surface of the table, the table being angularly oriented as machining gradually progresses so that the machining tool is always in contact with the said face along the one same predetermined parallel and so that a predetermined angle is maintained between the axis of rotation of the machining tool and the normal to the said face at the point of contact with the machining tool. - a table for mounting an object that is to be machined, this table, which comprises a receiving surface, being angularly orientable about an axis transverse to the receiving surface; - a machining tool with a spherical bearing surface and an arbour designed to drive this machining tool in rotation about an axis substantially parallel to the receiving surface of the table and designed to move this machining tool translationally in a plane substantially parallel or perpendicular to the receiving surface of the table; this method being characterized in that it further comprises the following steps: a) fixing a support to the table so that this support projects transversely to the table; b) fixing the optical object that is to be machined to the support so that the said face that is to be machined is positioned transversely to the receiving surface of the table; c) machining the said face using the machining tool along a path substantially parallel to the receiving surface of the table, the table being angularly oriented as machining gradually progresses so that the machining tool is always in contact with the said face along the one same predetermined parallel and so that a predetermined angle is maintained between the axis of rotation of the machining tool and the normal to the said face at the point of contact with the machining tool. a) fixing a support to the table so that this support projects transversely to the table; b) fixing the optical object that is to be machined to the support so that the said face that is to be machined is positioned transversely to the receiving surface of the table; c) machining the said face using the machining tool along a path substantially parallel to the receiving surface of the table, the table being angularly oriented as machining gradually progresses so that the machining tool is always in contact with the said face along the one same predetermined parallel and so that a predetermined angle is maintained between the axis of rotation of the machining tool and the normal to the said face at the point of contact with the machining tool.