JSFiddle - React, Tailwind, and code Playground
HTML
<link rel="stylesheet" href="http://netdna.bootstrapcdn.com/bootstrap/2.3.1/css/bootstrap.min.css">
<a class="btn btn-primary btn-large" href="#myModal" data-toggle="modal">Launch demo modal</a>
<div aria-hidden="true" aria-labelledby="myModalLabel" role="dialog" tabindex="-1" class="modal hide fade" id="myModal">
<div class="modal-header">
<button aria-hidden="true" data-dismiss="modal" class="close" type="button">×</button>
<h3 id="myModalLabel">Modal Heading</h3>
</div>
<div class="modal-body">
<h4>Drag header around to test</h4>
<p>Duis mollis, est non commodo luctus, nisi erat porttitor ligula, eget lacinia odio sem.</p>
<p>Duis mollis, est non commodo luctus, nisi erat porttitor ligula, eget lacinia odio sem.</p>
<p>Duis mollis, est non commodo luctus, nisi erat porttitor ligula, eget lacinia odio sem.</p>
<p>Duis mollis, est non commodo luctus, nisi erat porttitor ligula, eget lacinia odio sem.</p>
<p>Duis mollis, est non commodo luctus, nisi erat porttitor ligula, eget lacinia odio sem.</p>
</div>
<div class="modal-footer">
<button data-dismiss="modal" class="btn">Close</button>
<button class="btn btn-primary">Save changes</button>
</div>
</div>
JavaScript
$("#myModal").draggable({
handle: ".modal-header"
});