O Lord our God, [other] lords besides thee have
dominion over us
Sin and Satan have the dominion over the Lord's people, in a state of unregeneracy; before the good work of grace is wrought in them, every lust is a lord, and is served and obeyed: and Satan is the god of this world by usurpation, and leads men captive at his will. Some think that the idols the Jews had served and worshipped, called "Baalim" or lords, are meant, and that this is a confession of their sin; but that word is not here used. The Targum interprets it of the Jewish governors ruling over them, without the Lord; rather the Assyrians and Babylonians are designed; but it is best of all to understand it of persecuting tyrants, of antichristian kings and states that have exercised a tyrannical power over the people of God: [but] by thee only will we make mention of thy name;
that is, by thy strength, and through grace received from thee, we will be only subject to thee, our King and Lawgiver, and obey thy commands, serve and worship thee, knowing that it is right to obey God rather than man; or through the influence of thy grace, and by the assistance of thy Spirit, we will celebrate thy name, give thee thanks for our deliverance from the servitude, bondage, and oppression of other lords.