Abstract: A cover (12) for covering the cab of a motor vehicle (10) includes a shell (15) of flexible sheet material and at least two flaps (48, 50) attached to an interior surface (40) thereof along seams (52, 54) which respectively extend from portions of the shell for approximately covering lower corners (56, 58) of a front windshield (16) to portions of the shell for approximately covering top edges (60) of doors (62) of the motor vehicle. The flaps can be used for simultaneously pulling the shell tightly about the windshield and across the motor-vehicle top and can then be clamped between the doors and a motor vehicle body for holding the shell tightly about the windshield and the top.