Story highlights "Would I do it again? Absolutely," Edward Snowden says of leaking documents

"We need a watchdog that watches Congress," the NSA leaker says from Russia

"There's a political response that needs to occur," but also "a tech response"

He speaks via teleconference to SXSW tech conference in Texas

In a rare public talk via the Web, fugitive NSA leaker Edward Snowden urged a tech conference audience Monday to help "fix" the U.S. government's surveillance of its citizens.

He spoke via teleconference from Russia to an audience of thousands at the South by Southwest Interactive Festival in Austin. The event marked the first time the former National Security Agency contractor has directly addressed people in the United States since he fled the country with thousands of secret documents last June.

In response to a question, Snowden said he had no regrets about his decision to leak the NSA documents, which showed the intelligence agency has conducted secret monitoring of Americans' phone and Internet behavior in the name of national security.

"Would I do it again? Absolutely. Regardless of what happens to me, this is something we had a right to," he said.

"I took an oath to support and defend the Constitution. And I saw the Constitution was being violated on a massive scale," he added, to applause from the 3,000 people in the auditorium at the Austin Convention Center.

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"South by Southwest and the tech community, the people in the room in Austin, they're the folks who can fix this," Snowden said earlier. "There's a political response that needs to occur, but there's also a tech response that needs to occur."

He appeared on video screens with a copy of the U.S. Constitution as a backdrop. The live stream was slow, repeatedly freezing Snowden's image onscreen.

The pair of American Civil Liberties Union lawyers who hosted the discussion said Snowden's video, ultimately delivered via Google Hangouts, was streamed through several routers for security.

Snowden also said Internet users need more awareness, and better tools, to help them secure their online information from prying eyes.

While tech geeks may have no problem using encryption tools to scramble their messages or accessing the more-private "deep Web" via clients like Tor, Snowden said the average Web user should be able to access similar protections.

"This is something that people have to be able to interact with, and the way we interact with it now is not that good," he said.

Snowden took questions from two moderators -- the ACLU's Chris Sogohian and Ben Wizner, his legal counsel -- from the audience, and from Twitter. The first, fittingly, came from Tim Berners-Lee, who created the World Wide Web 25 years ago this week. Berners-Lee asked Snowden what he would change about the nation's surveillance system.

"We need public oversight ... some way for trusted public figures to advocate for us. We need a watchdog that watches Congress, because if we're not informed, we can't consent to these (government) policies."

Asked about the difference between government surveillance and snooping by private Internet companies, Snowden said he considers government surveillance more insidious because "the government has the ability to deprive you of rights. They can jail you."

Snowden, a former CIA employee and NSA contractor who fled the United States after leaking details of the American government's spy programs, was granted temporary asylum in Russia last year.

He faces felony charges of espionage and theft of government property in the United States, and he has said he won't return until the U.S. changes its whistleblower protection laws.

Reaction among SXSW audience members to Snowden's comments appeared mixed.

"I think it was right on," said Michael Chalcraft, a retired software entrepreneur from Seattle. "There's always a balance between what the government should know about us and what we would expect to be private.

"If we're not constantly protecting that privacy, then we give it up."

But Megan Betterman, a health-care marketer from Minneapolis, didn't hear everything she wanted from Snowden.

"I wanted to hear about what his life is like there (in Russia), and whether he'll ever come back to the U.S.," she said. "It (his talk) was very encryption-heavy."

More than 30,000 attendees are currently in Austin for the 10-day SXSW festival, which began Friday and wraps on March 16.

The Texas Tribune, a nonprofit media organization, live streamed the session.

Also scheduled to speak at the tech-themed conference Monday afternoon -- although in person -- was journalist and civil-liberties lawyer Glenn Greenwald, who broke the story about Snowden's leaks of classified NSA documents.

Snowden's call for developers to create secure, private networks for their users is less of a no-brainer at South by Southwest than it may have once been. Having emerged from the counter-culture of the early Web, SXSW Interactive has exploded in recent years as more businesses have sought to tap into successful startups' millions of users.

In the same Austin convention hall where Snowden called for new privacy tools, other sessions were helping entrepreneurs learn how to make money with the data they collect about the users of their products.