The just man walketh in his integrity,.... This is the faithful and upright man, who is made righteous by the obedience of Christ; and walks by faith in him, and according to the truth of the Gospel;
his children are blessed after him; with temporal blessings; and, walking in the same integrity as he does, they are blessed with spiritual blessings here, and eternal blessedness hereafter; see Psalm 37:26. It is an observation of an Heathen poet (c), that good things befall the children of the godly, but not the children of the ungodly.
(c) Theoerit. Idyll. 27. v. 32.

A good man is not liable to uneasiness in contriving what he shall do, or in reflecting on what he has done, as those who walk in deceit. And his family fare better for his sake.

The conduct of good men proclaims their sound principles. God's covenant and their good example secure blessing to their children (Proverbs 4:26; Psalm 112:1-2).

7 He who in his innocence walketh as one upright,
Blessed are his children after him!
We may not take the first line as a separate clause with צדּיק, as subject (Van Dyk, Elster) or predicate (Targ.); for, thus rendered, it does not appropriately fall in as parallel to the second line, because containing nothing of promise, and the second line would then strike in at least not so unconnectedly (cf. on the contrary, Proverbs 10:9; Proverbs 14:25). We have before us a substantival clause, of which the first line is the complex subject. But Jerome, the Venet., and Luther erroneously: the just man walking in his innocence; this placing first of the adj. is in opposition to the Hebr. syntax. We must, if the whole is to be interpreted as nom., regard צדיק as permutative: one walking in his innocence, a righteous one. But, without doubt, tsedek is the accus. of the manner; in the manner of one righteous, or in apposition: as one righteous; cf. Job 31:26 with Micah 2:7. Thus Hitzig rightly also refers to these two passages, and Ewald also refers to Proverbs 22:11; Proverbs 24:15. To walk in his innocence as a righteous man, is equivalent to always to do that which is right, without laying claim to any distinction or making any boast on that account; for thereby one only follows the impulse and the direction of his heart, which shows itself and can show itself not otherwise than in unreserved devotion to God and to that which is good. The children after him are not the children after his death (Genesis 24:67); but, according to Deuteronomy 4:40, cf. Job 21:21, those who follow his example, and thus those who come after him; for already in the lifetime of such an one, the benediction begins to have its fulfilment in his children.