Step 1: Go to the YouTube video you want to embed and click on Share under the video
Step 2: Copy the Share link
Step 3: Open your WordPress page or post and paste the share link onto its own line where you want it to appear. Then click Save Draft
Voila… You should see the video in the visual editor in the back end of WordPress.
Watch our YouTube Video Tutorial
Troubleshooting: My video isn’t displaying in WordPress!
If the video isn’t displaying in the visual editor switch from the Visual editor to the Text editor to view the HTML code. Make sure the share link URL is on its own line and not hyperlinked (clickable when viewing the post).
Also, make sure that you are using the latest version of WordPress. This feature was added to WordPress 4.0
How to stop related YouTube videos from showing in WordPress
A Responsive Video Plugin
If you are going to add a number of videos to your site you may want to use a plugin. We recommend using the Responsive Video Light plugin. With this plugin, you can tick a box to turn off related videos and control some styling. It works with Vimeo as well as YouTube.