A rotation transmission device is provided in which leakage of magnetism from an armature to a control retainer is reduced, and of which a two-way clutch can be operated accurately and reliably. This device includes a restricting arrangement for restricting the fitting amount between a coupling tube of the armature and a tubular portion of the control retainer such that a gap is defined between a back surface of the armature, with respect to its surface to be attracted to a rotor, and an end surface of the tubular portion, to prevent leakage of magnetism from the back surface of the armature to the end surface of the tubular portion when an electromagnet is energized and the armature is pulled to the rotor.