The LapStacker Retractable Wheelchair-Carry System is designed to allow the user to secure many types, shapes, and sizes of objects on his/her lap. Affixed to the chair's left and right front vertical frame, the system includes tensioned straps, retractors (that house the straps), brackets/clamps (that hold retractors to frame), and magnetic buckles (that fasten straps together). To operate, one pulls the straps from the retractors, brings them toward each other over the item(s), and joins the magnetized buckles together. When the buckles are unhooked, the straps retract back into their housings.