Downloading YouTube videos isn't an easy task, but you can easily embed them on your website by using the iframe tag to connect with YouTube's video player.
Steps

Navigate to the YouTube video you wish to embed.

Click the ‘Share’ button below the video

Click on Embed

Adjust some settings
- The checkboxes are optional, but the video player size should be adjusted.

Copy the code from the large box, with the iframe tag.
- You will also notice another box with a shortened URL. This is a shortened version of the YouTube video's link.

Paste the HTML code into your website.
- You may want to place the video player inside a div or table if the layout does not fit well.

Test the video player.
Tips
- The video is not hosted on your server; it is only linked to YouTube.
- If you click the link provided within the iframe tag, you'll notice that the video will resize to 100% of the browser window. This is a flexible way to adjust the video size.
