In this paper, the characteristics of the tightening force reduction and of the wheel displacement with time by its force reduction are examined in detail. And those mechanism are made clear and the way of high precision holding of the grinding wheel over a long period of time is discussed. The following points should be taken into account to hold the grinding wheel very precisely. (1) to make the surface roughness of the holding surface of the grinding wheel smaller. (2) to use the packing materials which are easier to creep such as polyethylene in tightening. (3) to well-balance the stiffness of the fixed and loose flange to cause the same creep strain at the holding surface of the both after tightening.