How secure is a HTTP POST?

SSL is a must.

POST method is not more secure than GET as it also gets sent unencrypted over network.

SSL will cover the whole HTTP communication and encrypt the HTTP data being transmitted between the client and the server.

<shameless plug>I have a blog post that details what an HTTP request looks like and how a GET request compares to a POST request. For brevity's sake, GET:

GET /?page=123 HTTP/1.1 CRLF
Host: jasonmbaker.wordpress.com CRLF
User-Agent: Mozilla/5.0 (Macintosh; U; Intel Mac OS X 10_5_6; en-us) AppleWebKit/525.27.1 (KHTML, like Gecko) Version/3.2.1 Safari/525.27.1 CRLF
Connection: close CRLF

and POST:

POST / HTTP/1.1 CRLF
Host: jasonmbaker.wordpress.com CRLF
User-Agent: Mozilla/5.0 (Macintosh; U; Intel Mac OS X 10_5_6; en-us) AppleWebKit/525.27.1 (KHTML, like Gecko) Version/3.2.1 Safari/525.27.1 CRLF
Connection: close CRLF
CRLF
page=123

(The CRLF is just a newline)

As you can see, the only differences from the standpoint of how a request is formed* is that a POST request uses the word POST and the form data is sent in the body of the request vs the URI. Thus, using HTTP POST is security by obscurity. If you want to protect data, you should use SSL.

* Note that there are other differences.