Square Enix aims to patch Hitman: Absolution on Xbox 360 and PlayStation 3 sometime next week. The update is intended to fix crashing issues with the console versions, reported in notable numbers on official forums. They arose soon after the game's November 20 release, but a fix hasn't yet been provided. If the crash occurs while the game's autosaving, save files can become corrupted and result in hours of lost progress.
and some guys are playing it on PSN, they also had no problems... this must be rare..
I know it affects both 360 and PS3.