Will uVision4 IDE work with Window7 OS(32 bit or 64 bit) or not ?
it definitely works on Win7-32 and Win7-64 !
But, if you want to know what is actually supported - then you need to contact Keil direct!
System Requirements are at the bottom of the table on this page: http://www.keil.com/arm/selector.asp
What its not working at all that may be because the uVision, i am using is uVision 4.0 . And i think this version of 4.0 is not supported with Window7 OS. This 4.0 version supports Win2000, Win XP, Win Vista and not Win7. Only the new version 4.12 , 4.13 and coming 4.14 are supported for window7 OS.
If you have an old version, then you need to check the system requirements stated for that version.
Obviously, the system requirements stated on the website will be for the current version!
If in doubt, you need to ask Keil direct!
I run as old version as 3.60 on Win7 64-bit (IDE + compiler).
I have multiple versions installed, based on what version that was used for certifications of different products.
But I can't tell about potential problems with JTAG or similar. On one hand, I seldom use the ULINK and on the other hand, even an older Keil installation may potentially use driver dll files from the most recent uVision I have installed.