Jesus is not the son of God. He was, obviously enough, the son of Mary. The Qur'an verses regarding Jesus (peace be upon him are quoted below:
That is Jesus, son of Mary, in word of truth, concerning which they are doubting. It is not for God to take a son unto Him. Glory be to Him! When He decrees a thing. He but says to it "Be". and it is. (19:34-5)
After this strong statement about the nature of Jesus, God directed Muhammad to call the Christians to a fair deal: to worship the one God:
Surely God is my Lord, and your Lord, so serve Him. This is the straight path. (19:38).
The rejection of the idea of God having a son is reported later in the same chapter with even stronger words:
And they say, 'The All-merciful has taken unto Himself a son.' You have indeed advanced something hideous. The heavens are well nigh rent of it and the earth split asunder, and the mountains well nigh fall down crashing for that they have attributed to the All-merciful a son; and it behooves not the All-merciful to take a son. None is there in the heavens and earth but he comes to the All-merciful as a servant. (19:88-93)
The Qur’an recognizes the fact that Jesus had no human father but this does not make him the son of God or God Himself. By this criterion Adam would have been more entitled to be the son of God because he had neither a father nor a mother. So the Qur'an draws attention to the miraculous creation of both in the following verse:
Truly the likeness of Jesus, in God's sight, is as Adam's likeness; He created him of dust. then said He unto him, "Be", and he was. (3:59)
The Qur'an rejects the concept of the Trinity as strongly as it rejects the Sonship of Jesus. This is because God is One. This is the essence of all monotheistic revelations. Three, by reason and by simple arithmetic, are not one. The Qur'an addresses the Christians in the following verses in the chapter entitled "Women".
People of the Book, go not beyond the bounds in your religion, and say not as to God but the Truth. The Messiah, Jesus, son of Mary, was only the Messenger of God, and His Word that He committed to Mary, and a spirit from Him. So believe in God and His Messengers, and say not, 'Three'. Refrain. better is it for you. God is only One God. Glory be to Him — that He should have a son! To Him belongs all that is in the heavens and in the earth, God suffices for a guardian.
The Messiah will not disdain to be a servant of God, neither the angels who are close to Him. Whosoever disdains to serve Him and waxes proud. He will assuredly muster them to Him, all of them.
The denial of Jesus' divinity (and for that matter Mary's divinity) is presented in the Qur’an as a topic of dialogue at the Day of Judgement between God Almighty and Jesus. All the messengers and the nations will be gathered in front of God and He will ask the messengers how they were received by their peoples and what they said to them. Among those who are going to be questioned is Jesus:
And when God said, 'O Jesus son of Mary, did you say unto men, "Take me and my mother as gods. apart from God?” He said, 'To you be glory! It is not mine to say what I have no right to. If I indeed said it, you knew it, knowing what is within my soul, and I do not know what is within your soul. you know the things unseen. I only said to them what you did command me: "serve God, my Lord and your Lord." And I was a witness over them, while I remained among them; but when you did take me to yourself, you were yourself the watcher over them; you are the witness of everything. If you punish them, they are your servants, if you forgive them, you are the Almighty, the All-wise.'
Bible was written several years after the death of Jesus (pbuh) by his disciplines.
Jesus (pbuh) was bestowed with unnatural powers such as raising the dead to life, healing the sick etc.
And will make him [('Îsa (Jesus)] a Messenger to the Children of Israel (saying): "I have come to you with a sign from your Lord, that I design for you out of clay, a figure like that of a bird, and breathe into it, and it becomes a bird by Allah's Leave; and I heal him who was born blind, and the leper, and I bring the dead to life by Allah's Leave. And I inform you of what you eat, and what you store in your houses. Surely, therein is a sign for you, if you believe.
( سورة آل عمران , Aal-e-Imran, Chapter 3, Verse 49)