error on microsoft update

Are you synchronizing with MS update or an internal WSUs server?
Could you post a snippet of entries from the c:\windows\windowsupdate.log file?
use baretail to capture the entries from running the wuauclt /updatenow
Was there a preceding error with an update when you last were able to update?
Recent installs, etc.

I am not synchronizing with msupdate , and I don't use wsus server
I have attached a snippet of windowsupdate log file for your review.
Last updates were installed on 4/17
C--download-updatelogsnippet.txt

Go to the Microsoft Windows Update troubleshooter site and run the FixIt included there for Windows 7. There is also a detailed set of manual steps to get updates running but run the FixIt first because that is the easiest thing to do.

http://support.microsoft.com/kb/971058

Please let us know.

The issue seems to be because of already downloaded updates that are failing.
Using the fixit John suggested is one.  
Presumably, stopping the automatic update service first. And then deleting the contents of c:\windows\softwaredistribution\downloads
And then starting automatic updates.

I ran the fixit program, along with , stopping the automatic update service first, and then deleting the contents of c:\windows\softwaredistribution\downloads.
I then tried to run updates again, and I 'm getting the same error message.
The error code is 80072f8f

Try running the Windows Update Readiness tool. The link below is for Windows 7 64=bit

http://www.microsoft.com/download/en/details.aspx?id=20858

No solutions have been provided, that will fix this issue on my windows7 pc.

The next step for you is to run Windows 7 Repair Install. For this you need a working recovery partition or the Windows 7 DVD. Here is a Seven Forums tutorial to assist you with this.

http://www.sevenforums.com/tutorials/3413-repair-install.html

When my co-worker reported that he had the same problem, who is in same security group as myself, then I surmised it was a firewall policy.