i.e. This covenant made with all succeeding generations of men and beasts. This and the like speeches are oft ascribed to God after the manner of men, who being forgetful, need helps for their memory.
Related Commentaries of Genesis 9:16
Genesis 9:16
16 And the bow shall be in the cloud; and I will look upon it, that I may remember the everlasting covenant between God and every living creature of all flesh that is upon the earth.