In order to play You Tube Video in SharePoint, peform the following easy steps:
Step 1: Edit the page and add Content Editor Web Part
Step 2: Copy and paste the URL path in Embed from the you tube video and paste in the CEWP.
Step 3: It starts playing the video in sharepoint.
Hope you will enjoy it.
SharePoint MCP/MCTS Certified Architect/Trainer/Principle Consultant