A child-restraining car safety seat usable by infants and children of varying sizes includes an outer pouch having leg and arm holes. Vertical anchor straps are securable around a car seat or to the vehicle frame and are releasably attachable to the pouch for holding the pouch in position against the seat. A generally horizontally extending torso strap loops around the anchor straps and the pouch. The armholes are sufficiently long to allow the straps to be inserted from behind into the sides of the pouch so that they may be applied directly around a child seated in the pouch. Also included is an inner pouch attached to the back of the outer pouch for accommodating a child or infant smaller than the largest child which can be accommodated in the outer pouch. The inner pouch is positioned such that the torso strap is in alignment with the torso of a child or infant held in the inner pouch. The torso strap is adjustable in different vertical positions to accommodate different sized persons using the safety seat. The range of vertical positions is limited by the use of loop-forming straps attached to the back of the outer pouch or by releasable snaps attaching the anchor straps to the back of the pouch.