In 2008, Facebook settled a lawsuit with the founders of the website ConnectU, who claimed that Zuckerberg stole their ideas for a social networking site. Facebook also settled a lawsuit with an early Facebook investor, Eduardo Saverin.
In recent weeks, another would-be owner has come forward.
In a complaint filed last month, Paul Ceglia, the owner of a wood-pellet fuel company in Wellsville, N.Y., alleges that a contract he signed with Zuckerberg in 2003 entitles him to an 84 percent stake in the company.
According to recent reports, a Facebook lawyer said Tuesday that she was "unsure" whether Zuckerberg signed the contract in question.
But in the interview today, Zuckerberg said, "I don't think we -- that -- if we said that we were unsure, I think that was likely taken out of context," he said. "Because I think we were quite sure that we did not sign a contract that says that they have any right to ownership over Facebook."
Zuckerberg declined to answer questions about the company's financial health, but affirmed that the company would never charge members to use the site.
"I mean, this is our commitment to users. And the people who use our service is that Facebook's a free service. It's free now. It will always be free. We make money through having advertisements and things like that," he said.
When asked about when the company might go public, he said, "When it makes sense, right. I mean, what we're most focused on is just building these tools that help people stay connected with the people that they care about. And at some point along the path, I think it'll make sense to have an IPO. But we're not running the company to do that. We're running the company to serve more people."
Zuckerberg acknowledged that Facebook had grappled with issues of members' privacy, but said it had arrived at a solution it planned to stick with.
"Yeah. We have made mistakes, for sure," he said. But "I think what people really want is control. … And building tools to make it so that people have the control that they want, that's our job, right. We work really hard to make it is as simple as possible."
Still, he said that though he's proud of the work his company has accomplished, he's concerned that Facebook won't be able to keep up with the amount of opportunity available.
"We can always be innovating more, doing more things. ... I'm just an impatient person, right," he said. "I want to see us, like release all these products very quickly, and-- and that's like-- that's a big thing for-- for our company. We love moving fast, and being bold, and kind of making those big things."