A video file can be inserted in a html page in two ways. The first way would be using the <embed/> tag. This tag does not need an ending/finishing tag. It works, mostly, the same as a tag for a photo.
<embed src="example.mpeg" autostart="false" height="30" width="144" />
Also, you can insert a video file using a link.
<a href="example.mpeg" title="Download movie">film name</a>
The most used are .mpeg and .swf, because of the compact format.
You can do that very easy, because YouTube provides you with the HTML code.
<object width="425" height="344" data="https://www.youtube.com/v/F9Bo89m2f6g&hl=en&fs=1"></object>
<embed src="https://www.youtube.com/v/F9Bo89m2f6g&hl=en&fs=1" allowfullscreen="true" width="425" height="344">
<iframe width="425" height="344" src="https://www.youtube.com/v/F9Bo89m2f6g&hl=en&fs=1" frameborder="0" allowfullscreen></iframe>
I will mentione that embed scripts on youtube are not XHML valid. But don't worry, give it a search and you will find plenty of tools to generate valid XHML codes for videos on youtube.
You can also find here a good tutorial about inserting YouTube videos into a CMS like WordPress, Joomla or Drupal, PowerPoint presentations, Gmail and some other cool things
With the introduction of HTML5, the video tag spread out very quickly with a good support by modern browsers. If after reading all this you are still not confortable in creating your own player using the HTML5 video tag, you can use simple yet powerfull generator, to create a video tag for the player.
Video tag is used to add a video to the html page. At the moment the HTML5 video tag, supports 3 types of video files:
<video width="320" height="240" controls> <source src="/assets_tutorials/media/Shaun-the-Sheep-The-Movie-Official-Trailer.mp4" type="video/mp4"> <source src="/assets_tutorials/media/Shaun-the-Sheep-The-Movie-Official-Trailer.ogg" type="video/ogg"> Your browser does not support the video tag. </video>
At the moment the video tag is supported very well by major modern browsers.