<p>A wheel holder of a scriber is provided to automatically position the newly mount wheel holder at the movement center of a head, and precisely control the movement of the head. A wheel holder of a scriber, comprises a wheel holder(70) for forming a scribe line for cutting a brittle substrate; a coupling member(64) mounted on a head(60) of the scriber so that the wheel holder is coupled to the coupling member in a manner that the wheel holder is attachable/detachable; a magnet(66) mounted on the coupling member or the wheel holder so that the magnet fixes the wheel holder to the coupling member through magnetic force; and a bearing(62) for jointing the coupling member to the head.</p>