Hii bhavani428,
I have checked the sample.Refer the below code.Like this you will get the id.
Script
<script type="text/javascript">
$(function () {
$("#btnSubmit").click(function () {
var id = $("#TimeSelector1").get()[0].control;
alert(id._date);
});
});
</script>
HTML
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.8.3/jquery.min.js"></script>
<asp:ScriptManager ID="ScriptManager1" runat="server">
</asp:ScriptManager>
<span>Default Mode</span><br />
<br />
<cc1:TimeSelector ID="TimeSelector1" runat="server">
</cc1:TimeSelector>
<br />
<asp:Button ID="btnSubmit" runat="server" Text="Submit" />
Screenshot