A wheel holder for a bicycle carrier for a vehicle includes at least one body and at least one fastening member. The wheel holder is configured to receive and retain a wheel having a tread. The at least one body provides a first wheel receiving surface and a second wheel receiving surface. The first and second wheel receiving surfaces are separated by a distance in a first plane. The first plane is aligned with a rotation plane of the wheel of the bicycle after the wheel has been mounted to the wheel holder. A void is formed between the first and second wheel receiving surfaces. The void is configured to receive a portion of the wheel of the bicycle such that the first and second wheel receiving surfaces provide a first support point and a second support point on the tread of the wheel separated by the void.