Create Dynamic tab in jquery-ui tab

The problem is with your script.So try this

$(document).ready(function() {
        var tabs = $("#container-1").tabs();
            var tabCounter = 1;

        $('#add_tab').click( function(){
            var ul = tabs.find( "ul" );
            $( "<li><a href='#newtab'>New Tab</a></li>" ).appendTo( ul );
            $( "<div id='newtab'>Name :<input type='text'></input></div>" ).appendTo( tabs );
            tabs.tabs( "refresh" );
            tabs.tabs('select', 1);
        });


    });