The creation of Adam by Allah T'ala is mentioned several places in the Holy Quran. The first narration appears in Chapter 2 (Surah Al-Baqarah) as follows:
2.029  It is He Who hath created for you all things that are on earth; Moreover His 
design comprehended the heavens, for He gave order and perfection to the seven 
firmaments; and of all things He hath perfect knowledge.
2.030  Behold, thy Lord said to the angels: "I will create a vicegerent on earth." 
They said: "Wilt Thou place therein one who will make mischief therein and shed 
blood?- whilst we do celebrate Thy praises and glorify Thy holy (name)?" He said: "I 
know what ye know not."
2.031  And He taught Adam the nature of all things; then He placed them before 
the angels, and said: "Tell me the nature of these if ye are right."
2.032  They said: "Glory to Thee, of knowledge We have none, save what Thou 
Hast taught us: In truth it is Thou Who art perfect in knowledge and wisdom."
2.033  He said: "O Adam! Tell them their natures." When he had told them, God 
said: "Did I not tell you that I know the secrets of heaven and earth, and I know what 
ye reveal and what ye conceal?"

002.034  And behold, We said to the angels: "Bow down to Adam" and they bowed 
down. Not so Iblis: he refused and was haughty: He was of those who reject Faith.

002.035  We said: "O Adam! dwell thou and thy wife in the Garden; and eat of the 
bountiful things therein as (where and when) ye will; but approach not this tree, or ye 
run into harm and transgression."

002.036  Then did Satan make them slip from the (garden), and get them out of the 
state (of felicity) in which they had been. We said: "Get ye down, all (ye people), with 
enmity between yourselves. On earth will be your dwelling-place and your means of 
livelihood - for a time."

002.037  Then learnt Adam from his Lord words of inspiration, and his Lord Turned 
towards him; for He is Oft-Returning, Most Merciful.

002.038  We said: "Get ye down all from here; and if, as is sure, there comes to you 
Guidance from me, whosoever follows My guidance, on them shall be no fear, nor 
shall they grieve.

002.039  "But those who reject Faith and belie Our Signs, they shall be companions 
of the Fire; they shall abide therein."

(This is the English translation by Abdullah Yusuf Ali of the original Quran in Arabic.)