A rotation transmission device is configured such that when an electromagnet of an electromagnetic clutch is energized, a control retainer of a two-way clutch is moved in the axial direction, so that the control retainer and a rotary retainer rotate relative to each other in the direction in which the circumferential widths of pockets decrease, thereby disengaging pairs of rollers from an outer ring and an inner ring. A spring holder is provided which is fixed to an input shaft and kept in abutment with an axial end surface of the inner ring to prevent relative rotation between the control retainer and the rotary retainer in the direction in which the circumferential widths of the pockets decrease, from the neutral position of the rollers. The spring holder is prevented from axial movement to prevent untimely engagement of the two-way clutch. The inner ring is integral with the input shaft.