A receiver hitch mounted bike rack with an anti-rattle mechanism includes a main tube that is received in the interior of a standard receiver hitch of a vehicle. The rack includes a pair of lateral wheel rails that each receive the front wheel or fork of a bike. An upright tube corresponding to each lateral wheel rail receives the bottom bracket of the bicycle. The bottom bracket rests in a groove on a top side of the upright tube, and the pedal arm is secured in the interior of the upright tube. One side of the upright tube, the side opposite the wheel, includes an elongated slot that accommodates the pedal of the bicycle.