I'm also having this problem and the work-around described above did not work for me.
When I place the system into Suspend, it goes through the suspend process and powers off the LCD display but then immediately powers up the LCD again but without any content being displayed on-screen - just a blank, but illuminated, screen.
When I attempt to Resume, the system pulls data from the hard drive but the screen stays blank and illuminated. Soft reset doesn't work and I have to hard reset to get back into the OS.
As with a previous poster I'm also running this on an IBM Thinkpad X31.
I previously abandoned Ubuntu 9.10 due to problems in running it with the X31 graphics chipset, which is a ATI Mobility RADEON M6 LY.
Given the display factors I have described I'm wondering if the 10.04 Suspend problem could be caused by a video driver issue?
Interestingly, I had no problems running CrunchBang based on Ubuntu 9.04.
Oh, a little bit of searching turned up these bug reports:
https://bugzilla.kernel.org/show_bug.cgi?id=14640
https://bugs.launchpad.net/ubuntu/+s...ux/+bug/485108
Looks like this problem has been affecting Ubuntu since November2009.
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