First, Jesus was quoting a psalm, and I found this discussion on it:
"The Law which Jesus refers to in John 10:34 is actually a quote from Psalm 82, specifically verse 6. For the sake of properly understanding Jesus’ intent in using this particular text we quote the entire Psalm:
A Psalm of Asaph.
1God has taken his place in the divine council;
in the midst of the gods he holds judgment:
2"How long will you judge unjustly and show partiality to the wicked?
Selah
3Give justice to the weak and the fatherless; maintain the right of the afflicted and the destitute.
4Rescue the weak and the needy; deliver them from the hand of the wicked."
5They have neither knowledge nor understanding, they walk about in darkness; all the foundations of the earth are shaken.
6I said, "
You are gods, sons of the Most High, all of you;
7
nevertheless, like men you shall die, and fall like any prince."
8Arise, O God, judge the earth; for you shall inherit all the nations!
Psalm 82 is a petition beseeching God to judge the so-called gods for their failure to maintain justice and righteousness. It is clear from the context that the gods are the men whom God appointed to rule and judge the people.[1]
The Psalmist provides support for viewing these gods as human beings since in v. 7 he says that they shall die like all other men. In fact, the following Psalm echoes the same theme of 82 and calls human judges gods"
Yet it is clear that neither the Levites nor Israel’s rulers were actual gods. The theology of the Psalms makes it abundantly evident that the gods of Psalm 82 could not have been some lesser divine beings that exist alongside Yahweh. The Psalms quite explicitly affirm the absolute uniqueness of Yahweh as the only true God:
"that they may know that you alone, whose name is the LORD, are the Most High over all the earth." Psalm 83:18
"
There is none like you among the gods, O Lord, nor are there any works like yours. All the nations you have made shall come and worship before you, O Lord, and shall glorify your name. For you are great and do wondrous things;
you ALONE are God." Psalm 86:8-10
"
For who in the skies can be compared to the LORD? Who among the heavenly beings is like the LORD, a God greatly to be feared in the council of the holy ones, and awesome above all who are around him? O LORD God of hosts,
who is mighty as you are, O LORD, with your faithfulness all around you?" Psalm 89:6-8"
http://www.answering-islam.org/Shamoun/john10_34-36.htm
However, the Mormons use this verse to support some of their beliefs, which I don't think is warranted.
Christianity has and does believe in theosis, however: In Eastern Orthodoxy deification (
theosis) is a transformative process whose goal is likeness to or union with God.
"I said, “You
are gods,
And all of you
are children of the Most High.” (Psalm 82:6)
This is a verse that most Protestants do not underline in their Bibles. What on earth does it mean—“you are gods”? Doesn’t our faith teach that there is only one God, in three Persons? How can human beings be gods?
In the Orthodox Church, this concept is neither new nor startling. It even has a name:
theosis. Theosis is the understanding that human beings can have real union with God, and so become like God to such a degree that we participate in the divine nature. Also referred to as
deification,
divinization, or
illumination, it is a concept derived from the New Testament regarding the goal of our relationship with the Triune God. (
Theosis and
deification may be used interchangeably. We will avoid the term
divinization, since it could be misread for
divination, which is another thing altogether!) (Supported by 2Peter 1:4 "Whereby are given unto us exceeding great and precious promises: that by these ye might be partakers of the divine nature")