MOSS 2007 getting multiple logon popup windows

[Iceman2740]

I have a document control section on our SharePoint Intranet site. When I connect to the site it asks for my username and password which is fine. After that, if I go to sub sites that have security it will give me a logon popup three times before it will go away, even when giving the proper credentials. It will also ask for my username and password when opening documents. We are using MOSS 2007 with combinations of XP Pro, Vista, and Windows 7, using a combination of Office 2003 and Office 2007. All combinations give the same results. All clients are using IE 8 and the site has been added to the Trusted sites section with Automatic logon with current credentials. Any help you can provide would be greatly appreciated.