The Sons of God are also in Psalms 82. When Almighty God is meeting with them.
Psalm 82:1 God stands in the congregation of the mighty; he judges among the gods. Said, "You are gods; you are all sons of the Most High". (From Dead Sea Scrolls.)
He judges in the council of gods and men. In the heights of the heavens (is) his reproach and in all the foundations of the earth the judgments of his hand. (4Q511, frg. 10, 11–12) 63
The Eternal One has made a covenant oath with us, Asherah has made (a pact) with us. And all the sons of El, And the great council of all the Holy Ones. 74
From Hebrew Text
Again Below
God [ʾĕlōhîm] takes his stand in the court of heaven [or "assembly of God"; ʿădat ʾēl] to deliver judgement among the gods themselves [bəqereb ʾĕlōhîm].
How long will you judge unjustly
and show favour to the wicked?
You ought to give judgement for the weak and the orphan,
and see right done to the destitute and downtrodden,
you ought to rescue the weak and the poor,
and save them from the clutches of wicked men.
But you know nothing, you understand nothing,
you walk in the dark
while earth's foundations are giving way.
This is my sentence: Gods [ʾĕlōhîm] you may be,
sons all of you of a high god [or "of the Most High"; bənê ʿelyôn],263
yet you shall die as men die;
princes fall, every one of them, and so shall you.
Arise, O God [ʾĕlōhîm], and judge the earth;
for thou dost pass all nations through thy sieve. (Psalm 82)
The Nephilim are the offspring of the Sons Of God and Human woman. It means Earth born and that is why in next verse GOD Puts a life span of 120 years as that would most likely have these offspring living a long time, being of Heavenly fathers.
Now the reason some leave the translation as it is, is because they have been told it is not right. There has been many of a debate on the proper translation. Earth Born sounds correct because these offspring would be a Hybrid species of Divine beings Sons of God and Humans, so therefore they would be half Human and Half immortals (or whatever it is exactly). I think we have to take it as it is said, that they are Sons of God, for if they were angels he would have said Angels. Perhaps he had Heavenly Sons as it is alluded to in many other verses. Either way Nephilim is the offspring and they were Earth Born, Mighty Heroes of renown as they were called.
But I have edited this to add something that I cannot believe I have missed. The verse says there were Nephilim in those days and after when the Sons of God mated with daughters of man. These offspring of the mating were called heroes, perhaps another translation of Nephilim is correct then
Nephilim
The Nephilim are mysterious supermen from ancient times, men of name, who lived before (and after?) the flood of Noah. Before the flood they are mentioned in Genesis 6:4, and after in Numbers 13:33. The question this raises is: who are the Nephilim and how did they survive the flood? If Noah, his sons or any of their wives had been Nephilim, the text would have certainly mentioned it, and the Nephilim would have been treated more positively.
Genesis 6 tells us that the Nephilim were fathered by 'sons of Elohim' with human females. The phrase 'sons of God' may indicate angelic creatures but also the members of some very strong race. It seems that Nephilim were generated from human stock, not just once but often and separately, and not only before the flood but also after. The Bible basically states that biology allows that human females may be and have indeed been impregnated by spirit beings, a fact of course made ultimately evident in the conception of Jesus Christ.
The Nephilim seem to be divided into several sub-categories. The spies who were sent to Canaan reported seeing children of Anak, or the Anakim, who were Nephilim (Numbers 13:33). The word for children that is used in Numbers 13:28 is (yalad) and means 'born ones,' that means of regular birth and not of some 'son of Elohim.' The name of the father of Anak is Arba, and his city, Hebron, is given to Caleb (Joshua 15:13). Caleb subsequently drives out the three sons (perhaps again three subdivisions of the Anakim) of Anak, whose names are Sheshai, Ahiman and Talmai.
Deuteronomy 2:10 speaks of Emim, a people as great, numerous and tall as the Anakim. Deuteronomy counts both the Anakim (who are Nephilim) and the Emim among the so-called Rephaim, but in Genesis 14:5 the Rephaim and the Emim are listed separate. Genesis 14:5 also lists the Zuzim, which are likely the same as the Zamzuzim of Deuteronomy 2:20, who are a people like the Anakim and also counted among Rephaim.
It is not clear where the name Nephilim comes from. There are a few possibilities, and scholars argue about the likelihood of each of them. First of all, the word nephilim is a plural and the single form, (npl), does not occur in the Bible (which by itself is not at all unusual). In another context, however, the word (nepel) means untimely birth or abortion. It comes from the verb (napal), fall, lie down, be cast down, fail. The plural word means 'fallen ones,' mostly by the sword or fallen (failed) to obey, and occurs in Joshua 8:25, Judges 20:46, 2 Kings 25:11, Psalm 145:14, Jeremiah 39:9, 52:15, Ezekiel 32:22 and 24.
O, so we have them saying the Nephilim were here before and in the times that the divine mating were going on, and the offspring of the mating were called heroes. Perhaps they helped destroy some of these Nephilim, perhaps the Nephilim are not the offspring but something else.
Genesis 6:1-4
When men began to increase in number on the earth and daughters were born to them. The sons of God saw that the daughters of men were beautiful, and they married any of them they chose. 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." 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.
It seems it is showing these Nephilim existed before the mating and after the mating. I always wondered what it meant they were mighty heroes and well. The verse after has God mad because of corruption, but this verse he called the offspring mighty heroes and famous men, so perhaps the Nephilim were what made him mad.
I am going to say either way could be correct.
Perhaps the Nephilim and offspring were not the same, as how could they be, if they existed before the Sons of God mated with Human woman and after...