An outer member of a rotation transmission device has an opening integral with an inner peripheral portion of the outer member. Engaging elements are disposed between an inner member and the inner peripheral portion. An outer ring is fitted to the inner peripheral portion. A first snap ring is attached to the inner peripheral portion. An inner ring is fitted to an end portion of the inner member at one axial end thereof. A second snap ring is attached to the end portion through the opening. A shaft is connected to the opening so as to be rotatable in unison with and coaxially with the outer member.