With the new embedded video widget, you can highlight Twitter-hosted video on your website.
Video embeds are available for videos captured and uploaded through Twitter’s applications for iOS and Android as well as Twitter Amplify partners.
To embed a video on your website, get started by clicking on ••• in a Tweet and then selecting “Embed Video”.
Check out this example:
— S.W.A.T. (@TwitterWomen) February 23, 2015