The flaws are "highly critical," security monitoring company Secunia said in an advisory posted Tuesday. Flaws that get that ranking--one notch below Secunia's most severe "extremely critical" rating--are typically remotely exploitable and can lead to full system compromise.
One is a general flaw in the JRE, while the other is specific to Java Web Start, a technology to load Java applications over a network such as the Internet.
The flaws could be exploited through a malicious Web site, according to alerts from the French Security Incident Response Team, which rates both issues "critical."
Sun said it wasn't aware of any exploits or attacks using the flaws.