gistfile1.phtml

public function find() {
      
        $this->Country->recursive = -1;
        if ($this->request->is('ajax')) {
            $this->autoRender = false;
            $country_name = $this->request->data['Country']['name'];
            $results = $this->Country->find('all', array(
                                           'conditions' => array('Country.name LIKE ' => '%' . $country_name . '%')
    ));
    foreach($results as $result) {
      echo $result['Country']['name'] . "\n";
     }
 
    } 
  }


<?php
echo $this->Form->create('Country', array('action' => 'find'));
echo $this->Form->input('name',array('id' => 'Autocomplete'));
echo $this->Form->submit();
echo $this->Form->end();
?>
<script type="text/javascript">
    $(document).ready(function($){
    $('#Autocomplete').autocomplete({
	source:'/countries/find', 
	minLength:2
    });
});
    </script>