The Nephilim were an antediluvian race (pre-flood) race which are referred to in the Bible as giants. They were reportedly the children born from the "daughters of men'', and the "Sons of God''. It is most important to note that they are mentioned almost simultaneous to God's statement that He would destroy the earth by flood, and it seems from this association that their affect upon mankind was one of the primary justifications that brought the destruction.
Genesis 6:1-7
1 When men began to increase in number on the earth and daughters were born to them, 2 the sons of God saw that the daughters of men were beautiful, and they married any of them they chose. 3 Then the LORD said, "My Spirit will not contend with man forever, for he is mortal ; his days will be a hundred and twenty years." 4 The Nephilim were on the earth in those days—and also afterward—when the sons of God went to the daughters of men and had children by them. They were the heroes of old, men of renown. 5 The LORD saw how great man's wickedness on the earth had become, and that every inclination of the thoughts of his heart was only evil all the time. 6 The LORD was grieved that he had made man on the earth, and his heart was filled with pain. 7 So the LORD said, "I will wipe mankind, whom I have created, from the face of the earth—men and animals, and creatures that move along the ground, and birds of the air—for I am grieved that I have made them." NIV