Try using the compatibility. That is, right click on the icon ( Tiger Woods 2001 PGA Tour.exe ) from your desktop or from where you have installed the game. Click on Properties. Click on the Compatibility tab. Check the 'Run this program in compatibility for '.
Choose Windows XP SP2.
Strange, I'm running Tiger Woods PGA Tour '06 on Win 7 with no problems, with the exception that the little video at the begiining only has audio. Once beyond that though, everything is fine.