Does not work with bueditor

Correct, Roger, inside.
I changed z-index and for dialog and for bueditor popups in different ways, unfortunetly nothing helped (

Hi, Roger,
I just looked through info about Dialog on jqueryui.com
http://jqueryui.com/demos/dialog/#option-modal
and it mentioned there that if you

Option:modal
Type: Boolean
Default: false

If set to true, the dialog will have modal behavior; other items on the page will be disabled (i.e. cannot be interacted with). Modal dialogs create an overlay below the dialog but above other page elements.

I will try to set in dialog.js
modal: false in

/**
   * Display the modal
   */
  Drupal.Dialog.show = function() {
    if (!Drupal.Dialog.dialog) {
      var o = {modal: true, width: 600, position: 'center'};
      Drupal.Dialog.dialog = $(Drupal.theme('DialogMain')).dialog(o);

I tested and it now works.

i changed z-index in bueditor.css

.editor-popup {
z-index:1030;
}

and set modal: false in dialog.js