Password Protecting Comments on a Post

I have searched the forums and google hi and lo to find the answer to this question:

I have enabled password protection on several posts on my site, but the comments are always visible, even before a password is entered! I’ve noticed on some user’s blogs that you have to actually enter a password to get the comments to display. What’s the point of having a password protected post if the comments show up anyway?

I want to password protect the post AS WELL AS the comments. Any help would be greatly appreciated!