He is the Lord our God - His name is Yahweh - the true God; and this God is ours. See the notes at Psalms 95:7.
His judgments are in all the earth - More properly “in all the land;” that is, in every part of the land he is honored as our God. His institutions are established here; his laws are obeyed here; his worship is celebrated here. No other God is worshipped here; everywhere he is acknowledged as the nation’s God.