God of all the earth is one of the phrases specifically stated as a name of God. The word ’arets can be a bit ambiguous because it can refer to either the world or to a particular territory. As a result, ’Elohei ha’arets is translated in two different ways in the Old Testament: God of earth (Gen. 24:3) and God of the land (meaning Israel in 2 Kings 17:26-27). The context helps to make the meaning clear. This particular name of God declares His dominion over the whole world.
God of all the earth in Hebrew:
Strong’s Concordance numbers: 430, 3605, 776
Bible reference: Isa. 54:5
In a prophecy that compares Israel with a forsaken wife, God reassures her of His covenant love and His capacity to redeem and restore her. The words apply by extension to His church:
Your husband is your Maker,
Whose name is the Lord of hosts;
And your Redeemer is the Holy One of Israel,
Who is called the God of all the earth. (Isaiah 54:5)
Similar names for God are Lord of the earth and Possessor (or maker) of heaven and earth.