No.
XBOX 360 and PS3 both supply a HDMI signal.
Apple’s cinema displays only accept a digital DVI signal.
There is no way to convert the HDMI signal from xbox into a DVI signal.
One company (forget which one) sold a special HDMI-to-DVI converter box for a bit, but they’re no longer selling it and aren’t intending to start selling something like it again.
If you’re buying a LCD computer display, buy one that has a HDMI input, or at least composite or VGA.
(figured I’d put this out here since it’s the 2nd time someone asked me, and I remember being really frustrated when I couldn’t get it to work)
LSD::RELOAD 
i found similar product!. http://hdcorea.com/good/sa1521.html
How think about it? it is cheaper than US product. but it does not support audio. if you want,
http://www.converters.tv/products/digital_video_system_converters_431.html
but i’m not sure it is best choice or not.
Hmmm… are you sure??
I have “heard” that digital-DVI is basically HDMI without the digital-audio signal… so an adapter just need to cris-cross the wires, see link below:
http://shop1.frys.com/search?cat=-60786&pType=pDisplay
No I am not completely sure. I do know that the dvi-to-hdmi connector that I bought didn’t work. But, I couldn’t find a detailed HDMI spec, so this is based on the material I did find, and other reports found across the web.