The latest stable release of FEniCS version 1.4.0 released 2014-06-02. For more information about FEniCS releases and changes, take a look at Release notes for FEniCS. Note that binary packages will appear a few days after the release of a new version.
This is the main FEniCS download, suitable for most users. It includes everything needed to get you started with FEniCS.
If the binaries do not apply to you, or you want to install directly from source, try one of the two other possibilities:
Every night, FEniCS snapshot releases are automatically generated for Ubuntu and Mac OS X. They are made available at our snapshots page.