The Bible emphasizes the distinction between humans and animals. Humans, not animals, were made 'in the image and likeness of God.' (Genesis 1:26) And whereas animals were created with a limited life span, humans had the prospect of living on earth forever. (Genesis 3:22, 23; Psalm 37:29) Likewise, the Bible says that God has put "time indefinite" in mankind's heart...not animal's. (Eccl. 3:11)
Also, Jesus Christ said that in order for one to receive "everlasting life," one must exercise faith and take in knowledge of God. Animals are not capable of doing these things. (John 3:36; 17:3)
Interestingly too, the Bible compares those unworthy of a resurrection to the "unreasoning animals [that are] born naturally to be caught and destroyed." (2 Peter 2:9-12)
So the Bible seems to indicate that animals do not go to heaven nor will be resurrected.
For more, see:
Pets - Keep a Balanced View of Them
Search For Bible Truths - ARCHIVE
Search For Bible Truths - Search Guide