What's the biblical basis for Dominionism? One stream of Dominion Theology is a growing teaching among Charismatic and Pentecostal churches which states that Christians are meant to acquire authority in seven worldly "domains" referred to as seven cultural mountains that include arts and entertainment, business, education, family, politics, media, and religion. This has been called New Kingdom theology by its proponents, and is associated with the wildly popular Charismatic worship centers of Bethel Church and the International House of Prayer. 

What arguments are given by proponents as the biblical basis for this teaching? Especially, from which passages do its teachers derive support for the "dominions" and their number, and why and in what manner should the church seek this authority?
Me and some of the members of my church just had a discussion on dominion theology earlier today. The verses which are referenced for this topic are Genesis 1:26 and Luke 19:13 (KJV)

"26 And God said, Let us make man in our image, after our likeness: and let them have dominion over the fish of the sea, and over the fowl of the air, and over the cattle, and over all the earth, and over every creeping thing that creepeth upon the earth."

"13 And he called his ten servants, and delivered them ten pounds, and said unto them, Occupy till I come."

the words "occupy until I return" suggest using what was gifted unto us to better the kingdom of god. These gifts can include money (pounds), land, political power, or even spiritual gifts. as an investor uses his money to get more money by making strategic financial decisions in the marketplace so too must we Christians use what god has given us to advance the kingdom of god. What this means is that we need to be kingdom minded and ready and willing to promote the Lords agenda as the holy spirit leads us. Things like voting for christian leaders in an election, promoting local churches, being outspoken against the homosexual and abortion movements, supporting Israel, and just generally hating evil and fearing the lord are sure ways of being a good steward of what the lord has given you.

The seven different dominions Religion, Family, Education, Government, Media, Arts, and Business are the different spheres of influence of a society (check out the video on the front page of lancewallnau.com). Dominion theology, which can be backed up by the above bible verses, suggest that Christians should not just be focused on the Religious domain but all seven influence spheres in the society. The apathy of the church has led to the rise of homosexuality and abortion (family), State-sponsored education (education), Obama (government), moral decay in the leftist media, pornography (arts), the collapse of the middle class (business). These are all a direct result of Christians not taking a stand for Jesus Christ. As we have already won in what Jesus did at the cross there is nothing wrong with taking a stand and taking back the dominion over every sphere of influence that the Devil has taken from us. "Taking" is a verb so we actually have to be engaging the enemy to see results or else things will just get worse from this point.

Yes we can all sit on our hands and wait for the lord to come back and say to  him that we have kept the talent or minas(gift) safe for the lord but he will take the reward away from those who do nothing with the gifts that he gives them during this church age and give the reward to those who strive for christian dominion before he returns as is suggested by the outcome of the parables of the Talents and the Minas.

Ive been interested in this topic as well, hope this helps.

Jacob