Brown: 'I'm a Scott Brown Republican'

Jan. 31, 2010 -- The newly elected Massachusetts senator made it clear he's not your typical Republican referring to himself as a "Scott Brown Republican" and said he's fiscally conservative but more moderate on social issues, especially his stance on abortion.

During ABC News' exclusive interview on "This Week," Brown told guest host Barbara Walters that while he opposes federal funding for abortion, a woman should have the right to choose whether to have one.

"I feel this issue is best handled between a woman and her doctor and her family," Brown said.

He called for more effort on reducing the number of abortions and said he is against partial-birth abortions.

"The difference between me and maybe others is that I'm very -- I'm against partial-birth abortions. I'm against federal funding of abortions. And I believe in a strong parental consent notification law."

So what does the term "Scott Brown Republican" mean?

"That means I'm going to go down there and be accountable, accessible, open and honest, and I'm going to bring good government and fairness back to the equation," Brown told Walters.

About Being Number '41'

When asked if he feels pressure being the 41st Republican senator, Brown said he foresees no problem voting with his party once he is sworn in.

"It's cute now," Brown told Walters referring to his numerical nickname. "But everyone really is the 41st senator. And what it means is that now there will be full and fair debate. And there will be no more closed -- behind closed doors actions."

Brown is already being touted as a future leader in the Republican Party having accomplished what seemed almost impossible, taking away the seat from Democrats that the late liberal lion from Massachusetts Ted Kennedy held for 46 years.

"And make no mistake, I am a fiscal conservative. And when it comes to issues affecting people's pockets, and pocketbooks, and wallets, I'll be with the Republicans if they are in fact pushing those initiatives."

'Humbled' by White House Talk, but Doesn't Rule Out 2012 Run

Sen.-elect Brown's stunning victory for the Massachusetts Senate seat once held by Ted Kennedy has many Republicans hoping he'll make a White House bid.

When Walters asked Brown if he'd rule out a 2012 run, he said he found it humbling, but he wouldn't say no.

Brown told Walters his focus would be on his family and his new role as the 41st Republican senator and said he'll "let the political pundits ... talk about that stuff."

Brown on Difficult Childhood: 'I'm Not Going to Cry"

In an exclusive interview on "This Week," the senator-elect told Barbara Walters about his tough childhood growing up with divorced parents, each was married four times, and admitting to "violence in the home" and "having to be the man of the family."

In his first Sunday show interview, Brown explained how his childhood helped shape him and how he appreciates his strong family today.

"I'm not going to cry," Brown told Walters, who is notorious for making past interview subjects shed a tear when revealing personal stories. "I've learned from my parents' mistakes to do everything that they may have done wrong."

He said, "Well, first of all, my parents were both loving, and they still are. When they were divorced, I was one years old, but they were always there for me. When I referred to the violence in the home, it was with my mom's husband -- a couple of husbands. And I do remember getting up in the middle of the night and, you know, having to be the man of the family and come and rescue her and getting knocked around pretty good."

Brown said his experience has made him "appreciate my strong family."

The father of two credits his sense of humor as his saving grace for his now 23-year marriage to Boston-based television reporter Gail Huff.

"There's nothing I wouldn't do for them," he said.

To watch all of our exclusive interview with Scott Brown, go to ABCNews.com or click HERE for the full player.