A bicycle carrier apparatus for a vehicle may include guide rails disposed at a lower portion of a bumper back beam while being symmetrical to each other and extendely formed in front and rear directions, a carrier part provided with a panel part and side portions extending from both sides of the panel part to the guide rails to slidably move along the guide rails, a first driving part installed at a front end portion of the carrier part and connected to the guide rails to move the carrier part in the front and rear directions along the guide rails, an expansion support part installed between the side portions of the carrier part to be expandably deployed laterally and support a loaded bicycle, and a second driving part installed at the carrier part to be connected to the expansion support part and expandably deploy the expansion support part.