The stabilizing combination found particularly advantageous for these polyesters is the combination of (1) about 0.05 to about 2.0 percent by weight of at least one HALS compound of formulae I or II and (2) about 0.05 to about 5.0 percent by weight of at least one UV stabilizing compound compatible with said polyester based on the weight of the polyester material to which they are added.