Adam Clarke's Bible Commentary Verse 1. Praise ye the Lord ] This may be considered as the title, for it has none other.
Praise ye the name of the Lord ] Perhaps the original hwhy µ ta wllh haleu eth shem Yehovah, should be translated, Praise ye the name Jehovah; that is, Praise God in his infinite essence of being, holiness, goodness, and truth.
Matthew Henry Commentary
Verses 1-4 - The subject-matter of praise, is the blessings of grace flowing from the everlasting love of God. The name of God as a covenant God an Father in Christ, blessing us with all spiritual blessings in him, is to be loved and praised. The Lord chose a people to himself, that the might be unto him for a name and a praise. If they do not praise his for this distinguishing favour, they are the most unworthy an ungrateful of all people.
Original Hebrew הללו1984 יה3050 הללו1984 את853 שׁם8034 יהוה3068 הללו1984 עבדי5650 יהוה׃3068