How do I stop them? John Kirkham
You can't, but they should be sorted into your spam folder. If not, create a rule to do this. These emails are not really from CNN, though they are a good imitation. Click a link in the latest version, My Custom Alert, and it takes you to a Russian website, where you are asked to download a malware version of Adobe's Flash player (adobe_flash.exe). This installs a Trojan downloader which runs a service called CbEvtSvc and connects to a remote host, as described here.
If you have downloaded anything, your anti-malware software should remove it. If not, try running SuperAntiSpyware.
Update: No CNN Alerts this morning, but I've had half a dozen MSNBC Breaking News spams. These appear to be the same sort of thing....