But he pushed back on congress members' suggestions that users do not have enough control of their data on Facebook in the wake of the privacy scandal at the world's largest social media network.
"Every time that someone chooses to share something on Facebook ... there is a control. Right there. Not buried in the settings somewhere but right there," the 33-year-old internet magnate told the US House of Representatives Energy and Commerce Committee.
Once again wearing a dark suit instead of his usual gray T-shirt, the hearing was Zuckerberg's second in two days. On Tuesday, he took questions for nearly five hours in a US Senate hearing without making any further promises to support new legislation or change how the social network does business, foiling attempts by senators to pin him down.
Investors were impressed with his initial performance. Shares in Facebook posted their biggest daily gain in nearly two years on Tuesday, closing up 4.5 percent. They were down 0.7 percent in early trading on Wednesday.
Facebook has been consumed by turmoil for nearly a month, since it came to light that millions of users' personal information was wrongly harvested from the website by Cambridge Analytica, a political consultancy that has counted US President Donald Trump's election campaign among its clients.
Zuckerberg faced broad concerns from members of Congress about how Facebook shares user data.
The latest estimate of affected users is up to 87 million.
Patience with the social network had already worn thin among users, advertisers and investors after the company said last year that Russia used Facebook for years to try to sway US politics, an allegation Moscow denies.
"I don't want to vote to have to regulate Facebook, but by God, I will," Republican Senator John Kennedy told Zuckerberg on Tuesday. "A lot of that depends on you."
Zuckerberg deflected requests to support specific legislation. Pressed repeatedly by Democratic Senator Ed Markey to endorse a proposed law that would require companies to get people's permission before sharing personal information, Zuckerberg agreed to further talks.
"In principle, I think that makes sense, and the details matter, and I look forward to having our team work with you on fleshing that out," Zuckerberg said.