Refer the below code.
HTML
<div>
    <asp:ScriptManager ID="ScriptManager1" runat="server">
    </asp:ScriptManager>
    <asp:UpdatePanel ID="UpdatePanel1" runat="server">
        <ContentTemplate>
            <link rel="stylesheet" href="http://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css" />
            <script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.9.1/jquery.min.js"></script>
            <script type="text/javascript" src="http://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/js/bootstrap.min.js"></script>
            <div class="panel panel-default" style="width: 500px; padding: 10px; margin: 10px">
                <div id="Tabs" role="tabpanel">
                    <!-- Nav tabs -->
                    <ul class="nav nav-tabs" role="tablist">
                        <li><a href="#personal" aria-controls="personal" role="tab" data-toggle="tab">Personal
                        </a></li>
                        <li><a href="#employment" aria-controls="employment" role="tab" data-toggle="tab">Employment</a></li>
                    </ul>
                    <!-- Tab panes -->
                    <div class="tab-content" style="padding-top: 20px">
                        <div role="tabpanel" class="tab-pane active" id="personal">
                            This is Personal Information Tab
                        </div>
                        <div role="tabpanel" class="tab-pane" id="employment">
                            This is Employment Information Tab
                        </div>
                    </div>
                </div>
                <br />
                <br />
                <asp:Button ID="Button1" Text="Submit" runat="server" CssClass="btn btn-primary" />
                <asp:HiddenField ID="TabName" runat="server" />
            </div>
        </ContentTemplate>
    </asp:UpdatePanel>
    <script type="text/javascript">
        $(function () {
            SetTabs();
        });
        var prm = Sys.WebForms.PageRequestManager.getInstance();
        if (prm != null) {
            prm.add_endRequest(function (sender, e) {
                if (sender._postBackSettings.panelsToUpdate != null) {
                    SetTabs();
                }
            });
        };
        function SetTabs() {
            var tabName = $("[id*=TabName]").val() != "" ? $("[id*=TabName]").val() : "personal";
            $('#Tabs a[href="#' + tabName + '"]').tab('show');
            $("#Tabs a").click(function () {
                $("[id*=TabName]").val($(this).attr("href").replace("#", ""));
            });
        };
    </script>
</div>
Screenshot
