When the Bible speaks of the infinity of God, it means that He has no limits. Sometimes this is known as immensity. We can consider His infinity in that He is not limited to either space or time.
He Cannot Be Limited In Space
God cannot be limited in relation to space. Solomon made it clear that God is not limited to one geographically place
But will God indeed dwell on the earth? Even heaven and the highest heaven cannot contain you, much less this house that I have built! (1 Kings 8:27).
This is what the LORD says: "Heaven is my throne, and the earth is my footstool. Where is the house you will build for me? Where will my resting place be?" (Isaiah 66:1).
The martyr Stephen said.
However, the Most High does not live in houses made by men. As the prophet says: "Heaven is my throne, and the earth is my footstool. What kind of house will you build for me says the Lord? Or where will my resting place be" (Acts 7:48,49).
In the New Testament, the Apostle Paul spoke of God's infinity.
The God who made the world and everything in it is the Lord of heaven and earth and does not live in temples built by hands. And he is not served by human hands, as if he needed anything, because he himself gives all people life and breath and everything else. From one man he made every nation of humans, that they should inhabit the whole earth; and he determined the times set for them and the exact places where they should live. God did this so that people would seek him and perhaps reach out for him and find him, though he is not far from each one of us. For in him we live and move and have our being. As some of your own poets have said, ‘We are his offspring' (Acts 17:24-28).
God is equally present in all parts of the universe. The Lord declared.
There Is No Limitation In Time For The Lord
God is not limited in relation to time.
The LORD will reign for ever and ever (Exodus 15:18).
The eternal God is your refuge, and underneath are the everlasting arms. He will drive out your enemy before you, saying, ‘Destroy him!' (Deuteronomy 33:27).
And the Levites--Jeshua, Kadmiel, Bani, Hashabneiah, Sherebiah, Hodiah, Shebaniah and Pethahiah--said: "Stand up and praise the LORD your God, who is from everlasting to everlasting (Nehemiah 9:5).
The psalmist declared.
Before the mountains were born or you brought forth the earth and the world, from everlasting to everlasting you are God (Psalm 90:2).
Jeremiah the prophet wrote.
But the LORD is the true God; he is the living God, the eternal King. When he is angry, the earth trembles; the nations cannot endure his wrath (Jeremiah 10:10).
John wrote in the Book of Revelation.
Each of the four living creatures had six wings and was covered with eyes all around, even under his wings. Day and night they never stop saying: "Holy, holy, holy is the Lord God Almighty, who was, and is, and is to come." Whenever the living creatures give glory, honor and thanks to him who sits on the throne and who lives for ever and ever, the twenty-four elders fall down before him who sits on the throne, and worship him who lives for ever and ever. They lay their crowns before the throne and say (Revelation 4:8-10).
This Is Not Same As God's Omnipresence
The infinity of God is not the same as His being everywhere present. It speaks of the fact that there is no limit to His person in either space or time.Summary
God is infinite. This means that he cannot be limited by space neither can he be limited by time. There are no temporal or spatial limitations to God. God cannot be confined to one geographic place or to any one point in time. The infinity of God should not be confused with his omnipresence. Omnipresence means that he is everywhere at the same time while infinity means that he is not limited by space and time.