While the default settings on the search engine are set to not track users' searches or any personal information, if a user changes these settings, information about the user could still leak out, according to the company's privacy policy.



(Read More: Leaker's Employer Became Wealthy Through Government Secrets )

The policy states:

"We also save searches, but again, not in a personally identifiable way, as we do not store IP addresses or unique User agent strings. We use aggregate, non-personal search data to improve things like misspellings...If you turn redirects off in the settings and you don't either turn POST on or use our encrypted site, then your search could leak to sites you click on. Yet as explained above, this does not happen by default."

Big tech companies—like Facebook, Microsoft, Yahoo and Apple—all were subject to thousands of government inquiries about user information. DuckDuckGo, though, didn't have the government knocking on their door.

"We had zero inquiries and the reason for that is because we don't store any data," Weinberg said. "So if they come to us—which they know because it's in our privacy policy—we have nothing to hand over, it's all anonymous data."



But that doesn't mean the government can't come after any information that the user has chosen to share by changing their default settings.

The privacy policy clearly states that "... like anyone else, we will comply with court ordered legal requests. However, in our case, we don't expect any because there is nothing useful to give them since we don't collect any personal information.

_ By CNBC's Cadie Thompson. Follow her on Twitter @CadieThompson.