A storage construction in which a spare tire of a motor vehicle is stored, comprising: a tire storage portion for storing the spare tire, which is disposed under a floor panel of the motor vehicle; a hoisting cable at one end of which a hanger engageable with a hub hole of the spare tire is provided; a hoist around which the other end of the hoisting cable is wound and which lifts the spare tire by winding the hoisting cable so as to store the spare tire in the tire storage portion and lowers the spare tire from the tire storage portion by unwinding the hoisting cable; an operating handle which is detachably inserted into an insertion portion of the hoist from a cabin of the motor vehicle such that winding and unwinding of the hoisting cable by the hoist are performed by operating the operating handle; a detachment preventing device which prevents detachment of the operating handle from the hoist before the spare tire is lifted to a hoisting completion position by the hoist; and a contact member which is secured to the hoisting cable and is brought into contact, when the spare tire has been lifted to the hoisting completion position by the hoist, with the detachment preventing device so as to set the detachment preventing device to an inoperative state such that the operating handle can be detached from the hoist.