The present invention provides a grease composition which contains a small amount (not more than 0.06 wt %) of molybdenum and yet is capable of achieving an excellent low friction property when mechanical parts in which the grease composition has been packed are operated under a severe sliding condition in which they are subjected to a high speed and a high contact pressure. The present invention also provides a bearing, a universal joint, and a linear motion device in which the grease composition of the present invention is packed. A grease composition (7) is packed inside a grease-packed bearing (1) in such a way that the grease composition (7) is applied to at least the circumference of each rolling element (4). The grease composition (7) contains base oil, a thickener, and an additive. The additive includes molybdenum dithiocarbamate and sodium dithiocarbamate.