Starting in WordPress 3.4, WordPress added Twitter as an oEmbed provider. What this means is that you don’t need to install any plugins or configure any settings.
Simply go to Twitter and find the tweet that you want to embed. You need to get the URL of that status. When you click on the tweet, it will expand and show you several options. Click on the Details link. Just get the url something like this “https://twitter.com/applebyte/statuses/492639776319614976” and it will gives the result below.
— applebyte (@applebyte) July 25, 2014