2448 Properly God cannot repent, Numbers 23:19 1 Samuel 15:11, 1 Samuel 15:29, because he is unchangeable in his nature and counsels, Zechariah 3:6 James 1:17, and perfectly wise, and constantly happy, and therefore not liable to any grief or disappointment. But this is spoken of God after the manner of man, by a common figure called anthropopathia, whereby also eyes, ears, hands, nose, &c. are ascribed to God; and it signifies an alienation of God's heart and affections from men for their wickedness, whereby God carries himself towards them like one that is truly penitent and grieved, destroying the work of his own hands. It grieved him at his heart, or, at his very soul, i.e. exceedingly.
Related Commentaries of Genesis 6:6
Genesis 6:6
6 And it repented the LORD that he had made man on the earth, and it grieved him at his heart.