You can download the whole exporter by clicking on the last version of the zip Max2Babylon, and clicking on the 'Raw' button of Github. This exporter is designed for 3ds Max 2013+. You just have to unzip the content of the archive to [3ds max folder\bin\assemblies]
After unzipping DLLs, you may have to go through all files, right-click on them, select the Properties menu and click on Unblock button to remove security protection enforce by Windows
If you right click on the scene, on a light, on a camera or on a mesh you fill have a [Babylon...] menu.
To export you can use the [Babylon] menu in the main menu bar.
Scene
Cameras
Lights
Meshes
Materials
Textures
Hierarchies are exported
(*): Through custom UI
Cameras, lights and meshes have custom properties (Right-click and select "Babylon properties" menu) to automatically launch animations at startup.
Animations are exported by sampling keyframes which can generate a lot of data. To reduce file size, you can opt to use linear interpolation instead of bezier or TCB.
To ensure that bones are correctly exported, you have to use the Skin modifier. Skin should be positioned at origin. More info here
Vresion 2.2.0 introduced a new feature called Actions Builder. This tool allows you to visually design your actions. More info here