If we look at what God said about which creatures went on Noah's ark, we find animals, birds, insects, and souls.  "In the selfsame day entered Noah, and Shem, and Ham, and Japheth, the sons of Noah, and Noah’s wife, and the three wives of his sons with them, into the ark; They, and every beast after his kind, and all the cattle after their kind, and every creeping thing that creepeth upon the earth after his kind, and every fowl after his kind, every bird of every sort." (Genesis 7:13-14) Notice that "They" were not included with any other category. For second reference, we see that Peter made a point about the souls on Noah's ark. "For Christ also hath once suffered for sins, the just for the unjust, that he might bring us to God, being put to death in the flesh, but quickened by the Spirit: By which also he went and preached unto the spirits in prison; Which sometime were disobedient, when once the longsuffering of God waited in the days of Noah, while the ark was a preparing, wherein few, that is, eight souls were saved by water." (1 Peter 3:18-20)

     We can also find an answer in scriptures where God was creating His creatures. Man was given uniqueness and status when compared to other animate creations. Man was the only creature made in God's image and given dominion over all the rest of God's creatures. "And God said, Let us make man in our image, after our likeness: and let them have dominion over the fish of the sea, and over the fowl of the air, and over the cattle, and over all the earth, and over every creeping thing that creepeth upon the earth." (Genesis. 1: 26).

     This next part is a difficult to explain, so it will take some pondering on your part. Animals and man have life, but only man has LIFE, God breathed. "And the LORD God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul." (Genesis 2:7)

     There is a Hebrew word for life, and it is nephesh. It applies to any creature that has life. In addition to nephesh, man has a soul. That soul is eternal, and God will judge it after the flesh dies. If all this is not complicated enough, look at this fact. When God saves a person through Christ, that person becomes a completely new spiritual creature. "Therefore if any man be in Christ, he is a new creature: old things are passed away; behold, all things are become new." (2 Corinthians 5:17)

     We become very attached to animals. At times, they seem almost human to us. They were created to benefit us both mentally and physically while we reside on earth, but they remain creatures under man's dominion. Animals do not have souls as man and certainly are not created as new creatures in Christ. In addition, there is no scripture that refers to God judging animals. Their life is finite, because they were never given LIFE. Since animals do not have souls, they will not be judged by God to live in Heaven or die in Hell.