According to thy name, O God, so is thy praise - That is, as far as thy name is known, it will be praised; or, the effect of knowing it will be to inspire praise. A just view of thy character and doings will lead people to praise thee as far as thy name is known. This seems to have been said in view of what had occurred. Events so remarkable, and so suited to show that God was a just, a powerful, and a merciful Being, would claim universal praise and adoration.
Unto the ends of the earth - In every part of the world. The earth is frequently represented in the Scriptures as an extended plain, having ends, corners, or limits. See the notes at Isaiah 11:12; Revelation 7:1.
Thy right hand is full of righteousness - The right hand is the instrument by which we accomplish anything. The idea here is, that in what God had done it seemed as if his hand - the instrument by which this bad been accomplished - had been “filled” with justice. All that had been manifested had been righteousness, and that had been in abundance.