A torque fluctuation absorbing apparatus comprises a first plate member, a second plate member disposed at a position axially offset from the first plate member, an intermediate plate member that is disposed between the first plate member and the second plate member and has a frictional sliding surface mating with the second plate member, rolling elements disposed so as to roll between the intermediate plate member and the first plate member, and resilient member that allows the intermediate plate member and the first plate member to rotate relative to each other. The intermediate plate member and the first plate member have acting sections on a surface whereon at least one of the rolling elements rolls, the acting sections press the intermediate plate member against the second plate member by a relative rotation between the intermediate plate member and the first plate member.