Drag and drop table row from one tabs table to another tabs table - Jquery

Here is a solution that combines jqueryUI droppable with sortable to satisfy your requirement:

$(document).ready(function() {
    $tabs = $(".tabbable");
    $('.nav-tabs a').click(function(e) {
        e.preventDefault();
        $(this).tab('show');
    })

    $( "tbody.connectedSortable" ).sortable({
        connectWith: ".connectedSortable",
        items: "> tr:not(:first)",
        appendTo: $tabs,
        helper:"clone",
        zIndex: 99999,
        start: function(){ $tabs.addClass("dragging") },
        stop: function(){ $tabs.removeClass("dragging") }
    });

    var $tab_items = $( "ul:first > li", $tabs ).droppable({
      accept: ".connectedSortable tr",
      hoverClass: "ui-state-hover",
      over: function( event, ui ) {
        var $item = $( this );
        $item.find("a").tab("show");
      }
    }); 
});

EDIT: Link to jsfiddle