A torque fluctuation absorber includes a disc fixed to a flywheel, a hub fixed to a transmission, first and second side plates fixed to the disc, a damper member, first and second control plates provided at axial both sides of the hub, the first and second control plates being riveted by a stopper pin, a first hysteresis mechanism including first and second low friction members and generating a small hysteresis, and a second hysteresis mechanism including first and second high friction members and generating a large hysteresis. The hub includes a flange portion having a through-hole into which the stopper pin is inserted. A relative rotational angle between the control plates and the hub is defined by a clearance formed between the through-hole and the hub. The first hysteresis mechanism is activated when the relative rotational angle is defined within the clearance.