I try to make a GET/POST to http://www.android.com/ like in the example given in the documentation
In the InputStream I get a message saying 302 Moved and tells me to go on https://www.android.com/
When I modify my URL to https, I get:
java.io.FileNotFoundException: https://www.android.com/
HttpsURLConnection con;
String request = "https://www.android.com/";
URL url = new URL(request);
    con = (HttpsURLConnection) url.openConnection();
    con.setDoOutput(true);
    con.setInstanceFollowRedirects(false);
    con.setRequestMethod("GET");
    con.setRequestProperty("Content-Type", "application/x-www-form-urlencoded");
    con.setRequestProperty("charset", "utf-8");
    con.setRequestProperty("Content-Length", Integer.toString(postDataLength));
Update
I thought it was an issue of SSL certificates, but it is not. I've added a function that will blindly trust all SSL certificates. Sources here and here.
 
    