How to Embed YouTube Video Players on Facebook
Embedding a YouTube video player on a Facebook page is different than embedding one on a personal website because Facebook doesn't expose its source code to users. Google, the company that owns and maintains YouTube, makes sharing YouTube videos simple by providing page links to copy and paste into emails, HTML ...
Visit Facebook and sign in to your account (link in Resources). Click inside the new post box and press “Ctrl-V” to paste the YouTube video link into a new post.