For POST, you'll need to set the external page as the processing action:
<form action="http://external-page.com/processor.php" method="POST">
<!-- Form fields go here --->
</form>
If it's GET, you can either change the form method to GET, or create a custom query string:
<a href="http://external-page.com/processor.php?field1=value1&field2=value2">submit</a>
Edit: I just realized you probably want to send these from within your PHP processing class. In that case, you could use set the location header with the custom query string:
header("Location: http://external-page.com/processor.php?field1=value1&field2=value2");