The invention relates to a blank holder for a dental milling machine. The blank holder has a clamping frame with a receptacle for a blank. The clamping frame includes a first frame part and a second frame part which are pivotable relative to one another to open the receptacle. A first clamping face is formed on the first frame part and a second clamping face is formed on the second frame part. The clamping faces engage an outer periphery of the blank with the clamping frame closed. To configure a blank holder so that the blank is fixed in the clamping frame in a play-free manner, provision is made to form one of the clamping faces on an annular clamping ring. The clamping ring is held on a frame part and is displaceable counter to a force in the axial direction.