how to download a video from Facebook Messenger onto your iPhone or Android. If the video is a personal video—that is, a video that you or someone else in the conversation took—you can download it from within the Messenger app .
Follow the below steps to learn how to download a video from Facebook Messenger directly.
Save Facebook Messenger Video
1. Open Facebook Messenger app on your phone.
2. Select a conversation where the video locates.
3. Find a video to save.
4. Tap and hold the video.
5. Tap “Save” (iPhone) button or “Save video” (Android) button to download a video from Facebook Messenger.
In this way, you could easily download video from Facebook Messenger to your phone directly. However, as I mentioned above, this method is only applicable to free videos. You can’t download shared videos in this way. The below content would show you how to download shared videos from Facebook Messenger.
And the another method is here in the video :