How to add some configuration option to vertical tab on content type edit page Is it possible without touching Dupal core's code, add some configuration option to content type edit page? preferably to vertical tabs of bottom? such as a checkbox.

I mean this page: /admin/structure/types/manage/article
Yes, you can add a fieldset to the content type edit form with hook_form_FORM_ID_alter.

e.g:

function MYMODULE_form_node_type_form_alter(&amp;$form, &amp;$form_state) {
    // Define field set in additional settings group
    $form['advanced'] = array(
      '#type' =&gt; 'fieldset',
      '#title' =&gt; t('Advanced settings'),
      '#collapsible' =&gt; TRUE,
      '#collapsed' =&gt; TRUE,
      '#weight' =&gt; 10,
      '#group' =&gt; 'additional_settings',
    );
    // Add checkbox option
    $form['advanced']['special_option'] = array(
      '#type' =&gt; 'checkbox',
      '#title' =&gt; t('Use special option'),
    );
    // Set default value from automatically saved config variable
    $form['advanced']['special_option']['#default_value'] = variable_get('special_option_' . $form['#node']-&gt;type, 1);

}