Provided is a grease composition capable of efficiently lubricating a constant velocity universal joint, effectively reducing wear and preventing occurrence of vibration, and to provide a constant velocity universal joint containing the same. The grease composition comprises (a) calcium phenate, (b) molybdenum dithiocarbamate, (c) a calcium sulfonate, (d) a thiophosphate, (e) a urea-based thickener, and (f) a base oil. The constant velocity universal joint contains this grease composition.