In a power switching apparatus which switches a power transmitting state from a drive member to left and right two driven members, a circumferential connection surface of the drive member and each of circumferential connection surfaces in both of the driven members are wedge connected according to an interposition of rolling elements by moving cages in an axial direction based on a centrifugal force of a switching means. The power switching apparatus also brings end surfaces of the cages into frictional contact with the driven members so as to rotate together therewith.