How to add Password to Zip File?

I know how to add a password to a file within the Zip file, but I don't want anyone to even be able to open the zip without a password.  That way they can't see the files or add new files.

Dear Tim,

The ZIP format does not allow you to hide file name. However you can hide the file name from other by using double zip. It means you compress your files into a ZIP file and compress the resulting ZIP file to a new one with Zero compression level.