The Mozilla Foundation has said it is "working aggressively" to fix two flaws in its open source Firefox browser.
Firefox has just celebrated its 50 millionth download
The vulnerabilities, reported on Saturday, were identified as "very critical", but no cases had been reported of them being exploited.
Several security firms identified the flaws which could let websites run malicious code on a person's computer.
The first flaw reported fools the browser into thinking software is being installed by a legitimate, or safe, website.
A hacker could potentially take advantage of the security flaws to secretly launch malicious code or programs.
Mozilla advised people to download add-ons to its software manually from the Foundation's site.
Danish security firm Secunia called the flaws "extremely critical" because cookie and history information could be used to get access to personal information or gain access to sites previously visited.
The Mozilla Foundation, which developed the browser, said it was working hard to provide a comprehensive and more permanent fix for the problems.
Last week, Firefox celebrated its 50 millionth download since its official launch in November.
Firefox is Microsoft Internet Explorer's (IE) main rival in the browser market. Many like it because it is easily customised, and others say it has fewer security flaws than IE.
Being open source means people can adapt the software's core code to create innovative features, such as add-ons, RSS news feed readers, or extensions to the program.
The Mozilla Foundation was set up by former browser maker Netscape in 1998. Netscape dominated the browser market in the early 1990s.
Microsoft releases its next-generation IE7 later this year which promises to be more secure.