У меня есть вложенные вкладки в Bootstrap, и вот код: http://jsfiddle.net/RLdYC/
$("ul.nav-tabs a").click(function (e) {
e.preventDefault();
$(this).tab('show');
});
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
<link href="#" onclick="location.href='https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css'; return false;" rel="stylesheet"/>
<div class="tabbable boxed parentTabs">
<ul class="nav nav-tabs">
<li class="active"><a href="#set1">Tab 1</a>
</li>
<li><a href="#set2">Tab 2</a>
</li>
</ul>
<div id="myTabContent" class="tab-content">
<div class="tab-pane fade active in" id="set1">
<div class="tabbable">
<ul class="nav nav-tabs">
<li class="active"><a href="#sub11">Tab 1.1</a>
</li>
<li><a href="#sub12">Tab 1.2</a>
</li>
</ul>
<div id="myTabContent" class="tab-content">
<div class="tab-pane fade active in" id="sub11">
<p>Tab 1.1</p>
</div>
<div class="tab-pane fade" id="sub12">
<p>Tab 1.2</p>
</div>
</div>
</div>
</div>
<div class="tab-pane fade" id="set2">
<div class="tabbable">
<ul class="nav nav-tabs">
<li class="active"><a href="#sub21">Tab 2.1</a>
</li>
<li><a href="#sub22">Tab 2.2</a>
</li>
</ul>
<div id="myTabContent" class="tab-content">
<div class="tab-pane fade active in" id="sub21">
<p>Tab 2.1</p>
</div>
<div class="tab-pane fade" id="sub22">
<p>Tab 2.2</p>
</div>
</div>
</div>
</div>
</div>
</div>