A plunging type constant velocity universal joint 1 for a propeller shaft includes an outer joint member 2, an inner joint member 3, eight torque transmitting balls 4, and a cage 5. A center of curvature O1 of a spherical outer surface 12 and a center of curvature O2 of a spherical inner surface 13 of the cage 5 each have an equal and axially opposite offset (f) with respect to a center O3 of pockets 5a. A ratio f/PCDBALL between the offset (f) of the cage 5 and a pitch circle diameter (PCDBALL) of the torque transmitting balls 4 is 0.07 or more and 0.09 or less.