Albert Barnes Commentary Psalms 66:2

"Sing forth the glory of his name: Make his praise glorious." — Psalms 66:2 (ASV)

Sing forth the honor of his name—That is, celebrate in appropriate praise the honor due to his name. Make that honor known in connection with songs.

Make his praise glorious—literally, “place honor, his praise”; that is, Give him honor; give him praise. The meaning is, Set forth his praise with songs, with music, with shouts—that will be the appropriate expression of the praise which is due to him.