A stair climbing wheelchair carrier operable by an unassisted wheelchair user is provided. The carrier includes a crawler drive unit and a carrying unit. The carrying unit includes a carrier main frame whose position is adjustable up and down relative to the crawler drive unit, an anchor unit for securely holding the back of the wheelchair set in a wheelchair mounting position on the carrier main frame, and a holding and moving unit for holding the wheelchair on the ground in the front part of the crawler drive unit and for moving the wheelchair to the wheelchair mounting position that is in the rear part of the crawler drive unit as the wheelchair user tilts the wheelchair backward by shifting the body weight. This stair climbing wheelchair carrier allows even a wheelchair with a relatively short front to back length to be mounted in the rear part of the carrier for stable transport up and down stairs.