Fill their faces with shame - As those who are disappointed and foiled in their plans - such disappointment and confusion commonly manifesting itself in the face. The prayer here is, that their enemies might be so baffled in their designs - that they might be made so to feel how vain and hopeless were all their plans - that there might be such a manifest interposition of God in the case, as that they should be led to see that Yahweh reigned; that it was in vain to contend with him, and that his people were under his protection.
That they may seek thy name, O Lord - That they may be led to seek thee. This explains the drift and design of the whole prayer in the psalm. It is not a malignant prayer for the destruction of their enemies; it is not a wish that they might be made to suffer; but it is a prayer that the divine dealing might be such as to lead them to the acknowledgment of the true God. It is a benevolent thing to desire that men may be brought to the knowledge of the true God, though it be through the discomfiture of their own plans, by defeat, or by suffering. Anything that leads people to an acquaintance with God, and results in securing his friendship and favor, is a gain, and will be cause of thankfulness in the end.

That they may seek thy name - Let them be confounded in all their attempts on Israel; and see, so manifestly, that thou hast done it, that they may invoke thy name, and be converted to thee.

Fill their faces with shame; that they may (m) seek thy name, O LORD.
(m) That is, be compelled by your plagues to confess your power.

Fill their faces with shame,.... For their sins, or rather through disappointment, not being able to put their desperate and deep laid schemes into execution: or "with lightness" (o); instead of a weight of honour and glory upon them, let them be despised. R. Joseph Kimchi renders it, "fill their faces with fire"; let their faces be as if they were on fire, as men's faces are, who are put to an exceeding great blush, or are most sadly confounded and ashamed:
that they may seek thy name, O Lord; not they themselves, who are filled with shame; for it is imprecated, that they be ashamed, and troubled for ever, and so as to perish, Psalm 83:17 but others; for the words may be supplied, as in Psalm 83:18 "that men may seek thy name, or that thy name may be sought": the judgments of God upon wicked men are sometimes the means of arousing others, and putting them upon seeking the Lord, his face, and his favour; that God would be merciful to them, pardon their iniquities, avert judgments from them, and preserve them from threatened calamities; and this is a good end, when answered; see Isaiah 26:9.
(o) Hebrews. "levitate", Piscator; so Ainsworth.

that they may seek--or as Psalm 83:18, supply "men," since Psalm 83:17-18 amplify the sentiment of Psalm 83:16, expressing more fully the measure of destruction, and the lesson of God's being and perfections (compare 2-Chronicles 20:29) taught to all men.

May seek - May own and worship thee as the only true God.