Donald Trump has named Reince Priebus, Chairman of the Republican National Committee, as the next White House chief of staff, and Breitbart News CEO Stephen Bannon as the "Chief Strategist and Senior Counselor to the President."

"I am thrilled to have my very successful team continue with me in leading our country," said Trump.

"Steve and Reince are highly qualified leaders who worked well together on our campaign and led us to a historic victory. Now I will have them both with me in the White House as we work to make America great again."

Priebus is serving his third term at RNC, and is seen as an insider who manages the affairs of the party expertly.

"It is truly an honor to join President-elect Trump in the White House as his Chief of Staff," Priebus said in a statement.

"I am very grateful to the President-elect for this opportunity to serve him and this nation as we work to create an economy that works for everyone, secure our borders, repeal and replace Obamacare and destroy radical Islamic terrorism," he added.

Many of the lawmakers who had opposed Trump during the campaign congratulated him for selecting Priebus.

"Congrats to @realDonaldTrump for outstanding choice of @Reince to be Chief of Staff. This shows me he is serious about governing," Senator Lindsey Graham said on Twitter.

Priebus represents the "establishment," while Bannon is generally seen as being hostile to "establishment" for his "alt right" views.

In October, an article was published in Breitbart which claimed that House Speaker Paul Ryan sided with Hillary Clinton because both of them were "progressives" and held "globalist worldview."

Ryan told CNN that he did not know Bannon personally, and was not worried about Bannon's apparent opposition of him.

"I don't know Steve Bannon, so I have no concerns. I trust Donald's judgment," said Ryan.

Media reports say that the selection of Priebus might upset those among the grassroots. Bannon on the other hand, was instrumental in promoting Trump's grassroots support.

Bannon was named CEO of Trump's campaign about three months ago, and had stepped down from his role of chief executive of the conservative newspaper to focus full time on the campaign of the president-elect.