The Son of God is a descriptive name for Jesus since he is the Son of the Heavenly Father (God).
However, instead of referring to himself as the Son of God, Jesus generally called himself the Son of Man.
Key verse about Son of God: We know that we are children of God, and that the whole world is under the control of the evil one. We know also that the Son of God has come and has given us understanding, so that we may know him who is true. And we are in him who is true by being in his Son Jesus Christ. He is the true God and eternal life. (1 John 5:19-21, NIV)
A lifelong student of the Bible, Peter DeHaan, PhD, wrote the 1,000-page website ABibleADay.com to encourage people to explore the Bible. His main blog and many books urge Christians to push past the status quo and reconsider how they practice their faith in every area of their lives.