Go to Settings --> Facebook ---> Facebook Settings
Now change the auto-play settings to Off as shown in given below screenshot
How to Disable Facebook Video Auto-Play on Android?
Open the facebook app in your Android device
Now click on the three-lined icon which is on the upper right corner of the application
Then click on facebook Settings option
Now you will notice an option to 'Turn Off Auto-Play' or 'Auto-Play on Wi-Fi only'. Select any of the options and save the changes
That's all the setting to disable facebook video auto-play for your Android device