Today, Apple released an update to Java SE 6 for OS X. The update brings Java 6 to 1.6.0_51, and is a standard update distributed by Apple (Java 7 is available from Oracle). Please note that there are separate updates for both OS X Snow Leopard and OS X Mountain Lion. The updates can be downloaded via the Mac App Store, or from Apple's own download site.
For more information about this update, please visit: About Java for OS X 2013-004 and Apple security updates