Here is a simple tutorial from Google and YouTube’s support channel. If you ever want to add a video to your site from YouTube – there is a share button that you can click, which will open up and say “embed”. From there you can follow the instructions below, grab the code and paste in the HTML editor on your website. It is super easy.
From YouTube Support:
In order to embed a video into another website or blog:
You may also customize your own embeddable player by clicking on the embed code. When you click on the embed code the space below it will expand and reveal customization options such as: