you may find your answer here and Here’s a demo of it.
HTML code example
<div class="ccms_form_element cfdiv_custom" id="style_container_div">
<label for="brand">Make:</label>
<select size="1" id="make" class=" validate['required']" title="" onChange="updatepage();" type="select" name="style">
<option value="-1">–Choose a Make-</option>
<option class="Audio" value="Audi">Audi</option>
<option class="BMW" value="BMW">BMW</option>
</select>
<div class="clear"></div><div id="error-message-style"></div>
<div id="style-sub-1" class="BMW" style="display: none;" name="stylesub1" onchange="ChangeDropdowns(this.value)">
<label for="brand">Model:</label>
<select name="cat" id="cat" class="postform">
<option value="-1">–Choose a Model-</option>
<option class="level-0" value="172">1 Series</option>
<option class="level-0" value="173">2 Series</option>
<option class="level-0" value="106">3 Series</option>
</select>
</div>
<div id="style-sub-1" class="Audi" style="display: none;" name="stylesub1" onchange="ChangeDropdowns(this.value)">
<label for="brand">Model:</label>
<select name="cat" id="cat" class="postform">
<option value="-1">–Choose a Model-</option>
<option class="level-0" value="169">A1</option>
<option class="level-0" value="170">A3</option>
<option class="level-0" value="171">A4</option>
</select>
</div>
<div class="clear"></div>
<div id="error-message-style-sub-1"></div></div>
JS Code
$("#make").change ( function () {
var targID = $(this).val ();
$("div#style-sub-1").hide ();
$('.' + targID).show ();
});
you should consider including jQuery and moving the code out of the function to be invoked.