http://www.gotquestions.org/Jesus-Son-of-God.html
Question: "What does it mean that Jesus is the Son of
God?"
Answer: Jesus is not God’s Son in the sense of a human
father and a son. God did not get married and have a son. God did
not mate with Mary and, together with her, produce a son. Jesus is
God’s Son in the sense that He is God made manifest in human form
(John 1:1, 14). Jesus is God's Son in that
He was conceived in Mary by the Holy Spirit. Luke 1:35 declares, “The angel
answered, 'The Holy Spirit will come upon you, and the power of the
Most High will overshadow you. So the holy one to be born will be
called the Son of God.’”
During His trial before the Jewish leaders, the High Priest
demanded of Jesus, “I charge you under oath by the living God: Tell
us if you are the Christ, the Son of God” (Matthew 26:63). “’Yes, it is as
you say,’ Jesus replied. ‘But I say to all of you: In the future
you will see the Son of Man sitting at the right hand of the Mighty
One and coming on the clouds of heaven’” (Matthew 26:64). The Jewish
leaders responded by accusing Jesus of blasphemy (Matthew 26:65-66). Later,
before Pontius Pilate, “The Jews insisted, ‘We have a law, and
according to that law He must die, because He claimed to be the Son
of God’” (John 19:7). Why would His
claiming to be the Son of God be considered blasphemy and be worthy
of a death sentence? The Jewish leaders understood exactly what
Jesus meant by the phrase “Son of God.” To be the Son of God is to
be of the same nature as God. The Son of God is “of God.” The claim
to be of the same nature as God—to in fact be God—was blasphemy to
the Jewish leaders; therefore, they demanded Jesus’ death, in
keeping with Leviticus 24:15. Hebrews 1:3 expresses this very
clearly, “The Son is the radiance of God’s glory and the exact
representation of His being.”
Another example can be found in John 17:12 where Judas is
described as the “son of perdition.” John 6:71 tells us that Judas
was the son of Simon. What does John 17:12 mean by describing
Judas as the “son of perdition”? The word perdition means
“destruction, ruin, waste.” Judas was not the literal son of “ruin,
destruction, and waste,” but those things were the identity of
Judas' life. Judas was a manifestation of perdition. In this same
way, Jesus is the Son of God. The Son of God is God. Jesus is God
made manifest (John 1:1, 14).
Recommended Resource: Jesus:
The Greatest Life of All by Charles Swindoll.