The term “omnipresent” is not used in the KJV Bible.
“Can any hide himself in secret places that I shall not see him? saith the LORD. Do not I fill heaven and earth? saith the LORD.” (Jeremiah 23:24)
“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. “(Psalms 139:7-10)