The answer depends on what version of Bootstrap you're using.
Bootstrap 2.3.2:
http://getbootstrap.com/2.3.2/components.html#dropdowns
Bootstrap 3:
Dropdown functionality was removed in Bootstrap 3 but based on the answer to a related question there is a solution.
From the Bootstrap 3 solution:
CSS:
.dropdown-submenu{position:relative;}
.dropdown-submenu>.dropdown-menu{top:0;left:100%;margin-top:-6px;margin-left:-1px;-webkit-border-radius:0 6px 6px 6px;-moz-border-radius:0 6px 6px 6px;border-radius:0 6px 6px 6px;}
.dropdown-submenu:hover>.dropdown-menu{display:block;}
.dropdown-submenu>a:after{display:block;content:" ";float:right;width:0;height:0;border-color:transparent;border-style:solid;border-width:5px 0 5px 5px;border-left-color:#cccccc;margin-top:5px;margin-right:-10px;}
.dropdown-submenu:hover>a:after{border-left-color:#ffffff;}
.dropdown-submenu.pull-left{float:none;}.dropdown-submenu.pull-left>.dropdown-menu{left:-100%;margin-left:10px;-webkit-border-radius:6px 0 6px 6px;-moz-border-radius:6px 0 6px 6px;border-radius:6px 0 6px 6px;}
HTML:
<ul class="dropdown-menu" role="menu" aria-labelledby="dropdownMenu" style="display: block; position: static; margin-bottom: 5px; *width: 180px;">
<li><a href="#">Action</a></li>
<li><a href="#">Another action</a></li>
<li><a href="#">Something else here</a></li>
<li class="divider"></li>
<li class="dropdown-submenu">
<a tabindex="-1" href="#">More options</a>
<ul class="dropdown-menu">
<li><a tabindex="-1" href="#">Second level</a></li>
<li class="dropdown-submenu">
<a href="#">More..</a>
<ul class="dropdown-menu">
<li><a href="#">3rd level</a></li>
<li><a href="#">3rd level</a></li>
</ul>
</li>
<li><a href="#">Second level</a></li>
<li><a href="#">Second level</a></li>
</ul>
</li>
</ul>
It is worth noting that hover functionality will not work on mobile devices. If you have to support mobile, I would go toggle the submenus on click.