A Commentary, Critical, Practical, and Explanatory on the Old and New Testaments, by Robert Jamieson, A.R. Fausset and David Brown  at sacred-texts.com
psa 10:1The Psalmist mourns God's apparent indifference to his troubles, which are aggravated by the successful malice, blasphemy, pride, deceit, and profanity of the wicked. On the just and discriminating providence of God he relies for the destruction of their false security, and the defense of the needy. (Psa. 10:1-18)
These are, of course, figurative terms (compare Psa 7:6; Psa 13:1, &c.).
hidest--Supply "thine eyes" or "face."
psa 10:2Literally, "In pride of the wicked they (the poor or humble, Psa 10:17; Psa 12:5) shall be taken in the devices they (the proud) have imagined."
psa 10:3heart's--or, "soul's."
desire--that is, his success in evil.
and blesseth, &c.--he (the wicked) blesseth the covetous, he despiseth the Lord.
psa 10:4The face expresses the self-conceit, whose fruit is practical atheism (Psa 14:1).
psa 10:5Such is his confidence in the permanence of his way or course of life, that he disregards God's providential government (out of sight, because he will not look, Isa 26:11), sneers at his enemies, and boasts perpetual freedom from evil.
psa 10:7The malignity and deceit (Psa 140:3) of such are followed by acts combining cunning, fraud, and violence (compare Pro 1:11, Pro 1:18), aptly illustrated by the habits of the lion, and of hunters taking their prey. "Poor," in Psa 10:8, Psa 10:10, Psa 10:14, represents a word peculiar to this Psalm, meaning the sad or sorrowful; in Psa 10:9, as usual, it means the pious or meek sufferer.
psa 10:8eyes . . . privily--He watches with half-closed eyes, appearing not to see.
psa 10:10croucheth--as a lion gathers himself into as small compass as possible to make the greater spring.
fall by his strong ones--The figure of the lion is dropped, and this phrase means the accomplices of the chief or leading wicked man.
psa 10:11As before, such conduct implies disbelief or disregard of God's government.
psa 10:12(Compare Psa 9:19; Psa 3:7).
the humble--(Compare Psa 10:17, and Margin.)
lift up thine hand--exert thy power.
psa 10:13It is in vain to suppose God will overlook sin, however forbearing; for He carefully examines or beholds all wickedness, and will mark it by His providential (Thine hand) punishment.
psa 10:14mischief and spite--provocation and trouble of the sufferer (compare Psa 6:7; Psa 7:14).
committeth--or, "leaves (his burden) on Thee."
till thou find none--So far from not requiting (Psa 10:11, Psa 10:13), God will utterly destroy the wicked and his deeds (Psa 9:5-6; Psa 34:16; Psa 37:36).
psa 10:16God reigns. The wicked, if for a time successful, shall be cut off. He hears and confirms the hearts of His suffering people (Psa 112:7), executes justice for the feeble, and represses the pride and violence of conceited, though frail, men (compare Psa 9:16).