The present invention relates to a fixing apparatus for quickly and simply fixing a carrier for vehicles to a vehicle, the fixing apparatus including: a female coupler which is installed in the vicinity of a rotating wheel at an end portion of an article mount; and a male coupler which is fixed to a roof of the vehicle and detachably coupled to the female coupler, in which when a trunk of the vehicle is opened in a state in which the carrier is installed, the article mount moves forward toward a front side of the vehicle, the female coupler is separated from the male coupler, and the rotating wheel rolls along a roof of the vehicle, and when the trunk is closed, the article mount moves rearward, and the female coupler engages with the male coupler, such that the carrier is fixed to the vehicle.