This psalm proclaims the universal reign of Jesus, who comes as Jehovah to judge the peoples of the world fairly. All nations are called to worship, and to proclaim his salvation.
This psalm proclaims the universal reign of Jesus, who comes as Jehovah (the LORD) to judge the peoples of the world fairly (v10,13). In this context, which is an end-time context, it calls upon all the peoples of the earth to sing a new song of praise to him, and to proclaim his salvation.

Mike Bickle, in 150 Chapters on the End Times, comments on this psalm, "Singing a new song is referenced nine times in Scripture (Ps. 33; 40; 96; 98; 144 149; Isa. 42; Rev. 5; 14). In each reference, with the possible exception of Ps. 40, the scope of the song is global. It includes humanity and creation in context to Jesus coming as Judge of the earth. The new song (Isa. 42:10, Rev. 5:8-14) declares the new things (Isa. 42:9) before they come to pass, namely, the universal recognition of Jesus as Yahweh resulting in saints ruling with Him on the earth."

In verse 11 to 12, the call to worship is extended to all of creation. According to Romans 8:20-22, creation will be redeemed along with humanity, "For the creation was subjected to futility – not willingly but because of God who subjected it – in hope 21 that the creation itself will also be set free from the bondage of decay into the glorious freedom of God’s children. 22 For we know that the whole creation groans and suffers together until now." (NET)

This Psalm is very similar to Psalm 98.
Tags: Millennium, Millennial reign of Jesus, Jesus as Jehovah, Nations judged, All nations called to worship, Creation redeemed
1 Sing to the Lord a new song! Sing to the Lord, all the earth!
2 Sing to the Lord! Praise his name! Announce every day how he delivers!
3 Tell the nations about his splendor! Tell all the nations about his amazing deeds!
4 For the Lord is great and certainly worthy of praise; he is more awesome than all gods.
5 For all the gods of the nations are worthless, but the Lord made the sky.
6 Majestic splendor emanates from him; his sanctuary is firmly established and beautiful.
7 Ascribe to the Lord, O families of the nations, ascribe to the Lord splendor and strength!
8 Ascribe to the Lord the splendor he deserves! Bring an offering and enter his courts!
9 Worship the Lord in holy attire! Tremble before him, all the earth!
10 Say among the nations, “The Lord reigns! The world is established, it cannot be moved. He judges the nations fairly.”
11 Let the sky rejoice, and the earth be happy! Let the sea and everything in it shout!
12 Let the fields and everything in them celebrate! Then let the trees of the forest shout with joy
13 before the Lord, for he comes! For he comes to judge the earth! He judges the world fairly, and the nations in accordance with his justice.