Immensity is the characteristic of God whereby He transcends all spatial limitation, yet He is present everywhere with His whole being. He is a transcendent being and transcends all of material reality, but at any one point He is there as a whole (not in part) being. He is an omnipresent being at every single point. His omnipresence is also an aspect of His infinity, because it touches space. In regards to time, he is eternal.
There is a distinction between immensity and omnipresence, for immensity stresses the transcendence of God since He is beyond everything that is. Omnipresence stresses His imminence; He is abiding in the fullness of His being at every particular point. All of God is here, and there is not any part of this universe in which God is not in the fullness of His being.
Now, He is not equally present in the same sense with all His creatures because He is not in the earth as He is in heaven; He does not live in animals as He does in born-again men; He is not in the Church as He is in Christ. In heaven, God is in His glory. In hell, He is there in His justice. However, He is there in the total fullness of His being, although the sense in which may vary.
Whither shall I go from thy spirit? or whither shall I flee from thy presence? If I ascend up into heaven, thou art there: if I make my bed in hell, behold, thou art there. If I take the wings of the morning, and dwell in the uttermost parts of the sea; Even there shall thy hand lead me, and thy right hand shall hold me. If I say, surely the darkness shall cover me; even the night shall be light about me. Yea, the darkness hideth not from thee; but the night shineth as the day: the darkness and the light are both alike to thee. (Psalms 139:7-12)
The God of the Bible is no localised deity, but a universal God. If He possesses an infinite essence, then he has an infinite presence—He is anywhere and everywhere fully. The immensity and omnipresence of God have some very definite applications to believers as well as unbelievers. The omnipresence of God should strike terror within an evil man. To those who are born again, it causes a great deal of comfort because of righteousness, by virtue of what Jesus Christ has done in His saving and redemptive work.