I have shifted by Dev Env recently to Eclipse Helios on Windows 7. After that the Ctrl + Space Content Assist feature is not working. I found out that that key option is utilize
You probably have another application (in systray) that uses Ctrl+Space for something else. In my case I have a small utility which when I press Ctrl+Space makes the active window on top.
The solution for you would be to (1) exit that application which overrides the keys or (2) in Eclipse change Ctrl+Space to some other set of keys.