MonoGame is available in a few different forms depending on your experience and needs.
These are all the official public releases of MonoGame over the history of the project.
You can also access the latest releases via NuGet:
When new fixes, features, or changes are merged into our development branch the build server generates new installers. It is extremely helpful to have the community install and use these builds when ever possible. We find these releases to be generally stable, but if you do run into a bug please report it to us.
If you want to get hold of the latest source code you can get that from our Github page. The master branch contains the latest stable release. There are several tags of previous releases. Finally if you want to get the latest features and fixes you can download our develop branch.
Looking for logos to promote the fact that your game was written using MonoGame? Get them from GitHub.