Msdhoni you could try one of these methods.
Method 1: I would suggest you to run Windows Update Troubleshooter and check if it works.
Follow the steps to run the Windows Update Troubleshooter:
a. Press Windows key + C on your keyboard to show the Charms bar.
b. Type Troubleshooting and click Troubleshooting under Settings.
c. Now type Windows update in the search option.
d. Click on Windows Update troubleshooter to run the troubleshooter.
Method 2: I would suggest you to perform clean boot and then try installing updates.
Place the computer in a clean boot state and then check if it helps. You can start Windows by using a minimal set of drivers and startup programs. This kind of startup is known as a "clean boot." A clean boot helps eliminate software conflicts.
How to perform a clean boot to troubleshoot a problem in Windows Vista, Windows 7, or Windows 8
Note: Follow the section “More information” to reset the computer to start as usual after troubleshooting with clean boot.
Method 3: I would suggest you to follow all the steps from the article mentioned below and check:
You receive error code 0x80070643 or error code 0x643 when you use the Windows Update or Microsoft Update Web sites to install updates
Hope this information helps.