A clutch for a transmission is provided in which a transmission case includes a first wall portion and a second wall portion that define a clutch housing chamber for housing a clutch outer, a clutch inner, a friction member, and an extension portion of a first gear shaft that extends from a shaft end portion of a second gear shaft, the clutch outer is supported on the first wall portion via a first bearing, and the clutch inner is supported on the through hole of the second wall portion, through which the first gear shaft extends, via a second bearing, and therefore, it is possible to enhance the coaxiality of the clutch outer and the clutch inner by supporting them on the transmission case independently from the first and second gear shafts, prevent the torque transmission capacity of the clutch from decreasing, and avoid the occurrence of judder.