Facebook has recently added limited support for animated images as noted below:

Get ready for Facebook to be a whole lot more animated. The social network has caved and joined the GIF party. That’s right, you can finally post an animated GIF in your Facebook status update. “We’re rolling out support for animated GIFs in News Feed,” a Facebook spokesperson confirmed in an email to “This is so you can share more fun, expressive things with your friends on Facebook.”

The feature is still kind of limited, though. At this point, it only works when you paste the link to a GIF that’s already been uploaded to the Web. If you try to upload one that’s saved on your computer using the “add photos/video” feature, the GIF will be converted to a still image, according to TechCrunch. It’s also not working on brand Pages at this time