The story of the Tower of Babel is much more than a morality story as one poster suggested. It the first part of an act explaining God’s perfect justice, which will be, as is often the case, fully revealed in the New Testament.
In Genesis, we see God confusing the language of men who thought they had the power to reach God through their own abilities.
In Acts, at Pentecost, we see God giving man the ability to understand foreign tongues which would allow them to take the Good News to all of the world.
So, when the two stories are combined we see the weakness of man and the power and glory of God.