No they don't. There are some differences to the way Christians believe in him and the way Muslims do.
Muslims don't believe that Jesus (May Peace Be Upon Him) was God or the Son of God but rather He was Allah's (God's) apostle sent to convey God's message to mankind and guide them to the righteous path. So, to Muslims Jesus is a Prophet of God just like Solomon, Moses, David, Zacaraya, Ishmael, Muhammad etc.
The following Quranic verses make clear the Islamic beliefs about Jesus:
Deny Jesus as son of God:
Such (was) Jesus the son of Mary: (it is) a statement of truth, about which they (vainly) dispute. It is not befitting to (the majesty of) Allah that He should beget a son. Glory be to Him! when He determines a matter, He only says to it, "Be", and it is. (19:34-35, Al-Maryam)
Jesus' status as a Prophet of God:
Jesus, the son of Mary, was no more than a Messenger before whom there lived many other Messengers. His mother was a truthful woman and both of them ate earthly food. Consider how We explain the evidence (of the Truth) to them and see where they then turn.-- Al-Maidah(5:75)
....... Jesus the son of Mary was (no more than) a messenger of Allah, and His Word, which He bestowed on Mary, and a spirit proceeding from Him: so believe in Allah and His messengers. Say not "Trinity" : desist: it will be better for you: for Allah is one Allah: Glory be to Him: (far exalted is He) above having a son...... --Al-Nisaa (4:171)
To know about the about the Muslim beliefs regarding Jesus, please click here.