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That story is found in Genesis 11:1-9, and appears in the King James Version as follows:
And the whole earth was of one language, and of one speech. And it came to pass, as they journeyed from the east, that they found a plain in the land of Shinar; and they dwelt there. And they said one to another, Go to, let us make brick, and burn them thoroughly. And they had brick for stone, and slime had they for mortar. And they said, Go to, let us build us a city and a tower, whose top may reach unto heaven; and let us make us a name, lest we be scattered abroad upon the face of the whole earth. And the Lord came down to see the city and the tower, which the children built. And the Lord said, Behold, the people is one, and they have all one language; and this they begin to do; and now nothing will be restrained from them, which they have imagined to do. Go to, let us go down, and there confound their language, that they may not understand one another's speech. So the Lord scattered them abroad from thence upon the face of all the earth: and they left off to build the city. Therefore is the name of it called Babel; because the Lord did there confound the language of all the earth: and from thence did the Lord scatter them abroad upon the face of all the earth.

There are several questions/observations which arise from a straightforward reading:
1) When God says "Go to, let us go down, and there confound their language, that they may not understand one another's speech." who is the 'us' plural; is it literary, is it "God and His angles", is it God-as-the-Christian-trinity?
2) God says "and this they begin to do; and now nothing will be restrained from them, which they have imagined to do." which is, when you think about it, a VERY intriguing and VERY powerful statement ESPECIALLY coming from an omnipotent and omniscient being.
3) This language-scattering is, to some degree, commanded to Christians to be overcome: Matthew 28:16-20 (NIV)
The Great Commission Then the eleven disciples went to Galilee, to the mountain where Jesus had told them to go. When they saw him, they worshiped him; but some doubted. Then Jesus came to them and said, “All authority in heaven and on earth has been given to me. Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and teaching them to obey everything I have commanded you. And surely I am with you always, to the very end of the age.”

And if you want to break out Revelation there's something in there about the time when the devil is bound for a thousand years that, IIRC (I'm going from memory here), mentions something about humanity being free from deception during that time.