The Lord is high above all nations - Hebrew, Exalted above all nations is Yahweh. That is, he rules over all nations; he directs their affairs; he is their sovereign king. As a matter of fact, and from the necessity of the case, he is on a throne which is elevated above all the kings and kingdoms of the world. He is the Sovereign not only of one nation, but of all; and it is meet that this should be acknowledged by them all.
And his glory above the heavens - That which renders him glorious. The manifestations of his glorious character are not confined to the earth; they extend to the heavens; they are not confined to the visible heavens; they extend far beyond, in the regions of illimitable space. The universe - the earth and the starry worlds - all are full of the manifestations of his glory; and far beyond the bounds of created things (if they have a boundary), God is there - without limit - the same God - worthy there of universal praise! Who can comprehend such a God? Compare the notes at Psalm 8:1.

The Lord is high above all nations - He governs all, he provides for all; therefore let all give him praise.

The LORD [is] high above all (b) nations, [and] his glory above the heavens.
(b) If God's glory shines through all the world, and therefore of all ought to be praised, what great condemnation were it to his people, among whom chiefly it shines, if they should not earnestly extol his Name?

The Lord is high above all nations,.... He is the most High in all the earth; he is higher than the highest; he is King of kings and Lord of lords: all nations are made by him, and are under his government and dominion; he is the Governor among the nations; they are in comparison of him as the drop of a bucket, as the small dust of the balance; as nothing, yea, less than nothing, and vanity. Here it seems to respect the time when the Lord shall be more visibly King over all the earth, and the kingdoms of this world shall be the kingdoms of our Lord and of his Christ, Zac 14:9.
And his glory above the heavens; it is above what the heavens do or can declare; they declare something of it, but not all. Christ, who is the brightness of his Father's glory, is made higher than the heavens, and has ascended far above them; and is above the angels in them, both as to nature, name, office, and place, Hebrews 1:4.

God's exaltation enhances His condescension;

This praiseworthiness is now confirmed. The opening reminds one of Psalm 99:2. Pasek stands between גוים and יהוה in order to keep them apart. The totality of the nations is great, but Jahve is raised above it; the heavens are glorious, but Jahve's glory is exalted above them. It is not to be explained according to Psalm 148:13; but according to Psalm 57:6, 12, רם belongs to Psalm 113:4 too as predicate. He is the incomparable One who has set up His throne in the height, but at the same time directs His gaze deep downwards (expression according to Ges. ֗142, rem. 1) in the heavens and upon earth, i.e., nothing in all the realm of the creatures that are beneath Him escapes His sight, and nothing is so low that it remains unnoticed by Him; on the contrary, it is just that which is lowly, as the following strophe presents to us in a series of portraits so to speak, that is the special object of His regard. The structure of Psalm 113:5-6 militates against the construction of "in the heavens and upon the earth" with the interrogatory "who is like unto Jahve our God?" after Deuteronomy 3:24.