Allah the Almighty says in the Qur'an chapter 2 al-Baqarah (the Cow) verses 30-39: "And when thy Lord said unto the angels: Lo! I am about to place a viceroy in the earth, they said: Wilt thou place therein one who will do harm therein and will shed blood, while we, we hymn Thy praise and sanctify Thee? He said: Surely I know that which ye know not. And He taught Adam all the names, then showed them to the angels, saying: Inform Me of the names of these, if ye are truthful. They said: Be glorified! We have no knowledge saving that which Thou hast taught us. Lo! Thou, only Thou, art the Knower, the Wise. He said: O Adam! Inform them of their names, and when he had informed them of their names, He said: Did I not tell you that I know the secret of the heavens and the earth? And I know that which ye disclose and which ye hide. And when We said unto the angels: Prostrate yourselves before Adam, they fell prostrate, all save Iblis (Satan). He demurred through pride, and so became a disbeliever. And We said: O Adam! Dwell thou and thy wife in the Garden, and eat ye freely (of the fruits) thereof where ye will; but come not nigh this tree lest ye become wrong-doers. But Satan caused them to deflect therefrom and expelled them from the (happy) state in which they were; and We said: Fall down, one of you a foe unto the other! There shall be for you on earth a habitation and provision for a time. Then Adam received from his Lord words (of revelation), and He relented toward him. Lo! He is the relenting, the Merciful. We said: Go down, all of you, from hence; but verily there cometh unto you from Me a guidance; and whoso followeth My guidance, there shall no fear come upon them neither shall they grieve. But they who disbelieve, and deny Our revelations, such are rightful owners of the Fire. They will abide therein."
Allaah the Almighty also says in chapter 3 al-'Imraan (the family of 'Imraan) verse 59: "Lo! the likeness of Jesus with Allah is as the likeness of Adam. He created him of dust, then He said unto him: Be! and he is."
Allaah the Almighty also says in chapter 4 an-Nisa (the women) verse 1: "O mankind! Be careful of your duty to your Lord Who created you from a single soul (Aadam) and from it created its mate (Eve) and from them twain hath spread abroad a multitude of men and women. Be careful of your duty toward Allah in Whom ye claim (your rights) of one another, and toward the wombs (that bare you). Lo! Allah hath been a watcher over you."
Allaah the Almighty also says in chapter 7 al-'Araaf (The Heights) verse 189: "He it is Who did create you from a single soul (Aadam), and therefrom did make his mate (Eve) that he might take rest in her. And when he covered her she bore a light burden, and she passed (unnoticed) with it, but when it became heavy they cried unto Allah, their Lord, saying: If thou givest unto us aright we shall be of the thankful."
Allaah the Almighty also says in chapter 7 al-'Araaf (The Heights) verses 11-25: "And We created you, then fashioned you, then told the angels: Fall ye prostrate before Adam! And they fell prostrate, all save Iblis, who was not of those who make prostration. He said: What hindered thee that thou didst not fall prostrate when I bade thee? (Iblis) said: I am better than him. Thou createdst me of fire while him Thou didst create of mud. He said: Then go down hence! It is not for thee to show pride here, so go forth! Lo! thou art of those degraded. He said: Reprieve me till the day when they are raised (from the dead). He said: Lo! thou art of those reprieved. He said: Now, because Thou hast sent me astray, verily I shall lurk in ambush for them on Thy Right Path. Then I shall come upon them from before them and from behind them and from their right hands and from their left hands, and Thou wilt not find most of them beholden (unto Thee). He said: Go forth from hence, degraded, banished. As for such of them as follow thee, surely I will fill hell with all of you. And (unto man): O Adam! Dwell thou and thy wife in the Garden and eat from whence ye will, but come not nigh this tree lest ye become wrong-doers. Then Satan whispered to them that he might manifest unto them that which was hidden from them of their shame, and he said: Your Lord forbade you from this tree only lest ye should become angels or become of the immortals. And he swore unto them (saying): Lo! I am a sincere adviser unto you. Thus did he lead them on with guile. And when they tasted of the tree their shame was manifest to them and they began to hide (by heaping) on themselves some of the leaves of the Garden. And their Lord called them, (saying): Did I not forbid you from that tree and tell you: Lo! Satan is an open enemy to you? They said: Our Lord! We have wronged ourselves. If thou forgive us not and have not mercy on us, surely we are of the lost! He said: Go down (from hence), one of you a foe unto the other. There will be for you on earth a habitation and provision for a while. He said: There shall ye live, and there shall ye die, and thence shall ye be brought forth."
Allaah the Almighty also says in chapter 15 al-Hijr (The Rocky Tract, The Stoneland, The Rock City) verses 26-36: "Verily We created man of potter's clay of black mud altered, And the jinn did We create aforetime of essential fire. And (remember) when thy Lord said unto the angels: Lo! I am creating a mortal out of potter's clay of black mud altered, So, when I have made him and have breathed into him of My Spirit, do ye fall down, prostrating yourselves unto him. So the angels fell prostrate, all of them together Save Iblis. He refused to be among the prostrate. He said: O Iblis! What aileth thee that thou art not among the prostrate? He said: I am not going to prostrate myself unto a mortal whom Thou hast created out of potter's clay of black mud altered! He said: Then go thou forth from hence, for verily thou art outcast. And lo! the curse shall be upon thee till the Day of Judgment. He said: My Lord! Reprieve me till the day when they are raised."
Allaah the Almighty also says in chapter 17 al-Isra (The Night Journey) verse 61: "And when We said unto the angels: Fall down prostrate before Adam and they fell prostrate all save Iblis, he said: Shall I fall prostrate before that which Thou hast created of clay?"
Allaah the Almighty also says in chapter 18 al-Kahf (The Cave) verse 50: "And (remember) when We said unto the angels: Fall prostrate before Adam, and they fell prostrate, all save Iblis. He was of the jinn, so he rebelled against his Lord's command. Will ye choose him and his seed for your protecting friends instead of Me, when they are an enemy unto you? Calamitous is the exchange for evil-doers."
Allaah the Almighty also says in chapter 20 Ta-Ha verses 115-126: "And verily We made a covenant of old with Adam, but he forgot, and We found no constancy in him. And when We said unto the angels: Fall prostrate before Adam, they fell prostrate (all) save Iblis; he refused. Therefor we said: O Adam! This is an enemy unto thee and unto thy wife, so let him not drive you both out of the Garden so that thou come to toil. It is (vouchsafed) unto thee that thou hungerest not therein nor art naked, And that thou thirstest not therein nor art exposed to the sun's heat. But the Devil whispered to him, saying: O Adam! Shall I show thee the tree of immortality and power that wasteth not away? Then they twain ate thereof, so that their shame became apparent unto them, and they began to hide by heaping on themselves some of the leaves of the Garden. And Adam disobeyed his Lord, so went astray. Then his Lord chose him, and relented toward him, and guided him. He said: Go down hence, both of you, one of you a foe unto the other. But if there come unto you from Me a guidance, then whoso followeth My guidance, he will not go astray nor come to grief. But he who turneth away from remembrance of Me, his will be a narrow life, and I shall bring him blind to the assembly on the Day of Resurrection. He will say: My Lord! Wherefor hast Thou gathered me (hither) blind, when I was wont to see? He will say: So (it must be). Our revelations came unto thee but thou didst forget them. In like manner thou art forgotten this Day."
Abi Musa al Sha'arai narrated that the Prophet Muhammad (peace be upon him) said: "Allah created Adam from a handful of dust taken from different lands, so the children of Adam have been created according to the composition of the land. Therefore from mankind we have white, red, black and yellow ones; we have good and evil, ease and sorrow, and what comes in between them." 
Abu Hurairah narrated that the Prophet Muhammad peace be upon him said: "Allah created Adam from dust after He mixed the clay and left him for some time until it became sticky mud, after which Allah shaped him. After that Allah left him till it became like potter's clay. Iblis used to go past him saying 'You have been created for a great purpose.' After that Allah breathed His spirit into him. The first thing into which the spirit passed was his eye and then his nose. He sneezed. Allah said: "May your Lord have mercy upon you, O Adam! Go to those angels and see what they would say.' So Adam went and greeted them. they replied saying: "Peace be upon you and the mercy and blessings of Allah." Allah said: "O Adam! This is your greeting and that of your offspring." 
Adam takes a prominent role in Islamic traditions concerning the fall of Satan. In these, when God announces his intention of creating Adam, some of the angels express dismay, asking why God would create a being that would do evil. God Teaches Adam the names reassures the angels as to Adam's abilities  وَعَلَّمَ آدَمَ الأَسْمَاءَ كُلَّهَا ثُمَّ عَرَضَهُمْ عَلَى الْمَلائِكَةِ فَقَالَ أَنْبِئُونِي بِأَسْمَاءِ هَؤُلاء إِنْ كُنتُمْ صَادِقِينَ)
.. dispute which particular names were involved; various theories say they were the names of all things animate and inanimate, the names of the angels, the names of his own descendants, or the names of God. Others[who?] believe he was given the gift of speech to separate himself from all other animals.
In the Muslim tradition, Satan, is regarded as a djinn made out of fire, rather than an angel made out of light. This supports the Islamic notion of angels being creations that would not be accountable since they lack free will. When God commands the angels to bow to Adam, Satan is also present and refuses due to his pride, and is summarily banished from the heavens. Liberal movements within Islam have viewed God's commanding the angels to bow before Adam as an exaltation of humanity, and as a means of supporting human rights.
Al-Qummi records the opinion that Eden was not on earth but in heaven. After disobeying God, God sends Adam and Eve to earth, arriving first at mountain peaks outside Mecca; Adam on Safa, and Eve on Marwa. In this account, Adam remained weeping for 40 days, until he repented, at which point God rewarded him by sending down the Kaaba [Need Citation because the article about Kaaba says that it was built by Ibrahim (Abraham)], and teaching him the hajj. The Quran does not mention Adam's weeping but it does mention the forgiveness he was granted.
The Qur'an also describes the two sons of Adam (named Qabil and Habil in Islamic tradition, but not mentioned by name in the Qur'an) that correspond to Cain and Abel.