I have fixed the download link for direct download. Seems my download is really popular
Note it is a clean file, I just want more people to play online as I still play this Halo PC original. I have seen several trojan infected or modified versions of the patch file on some well known sites. I tried very hard to find the clean file and finally found it on Bungie forums. I am just keeping a copy here so its easy to find for others.

the updated post can be found here http://vangel.3ezy.com/archives/61-Halo-1-PC-Patch-No-CD-Official-removes-disk-check-v1.08-and-v1.09.html

its pretty straightforward. After installing the game or if its already installed, just run the patch file and it will remove the disk check as well as update to latest version.

I have tested this on Vista and Win7 (64 bit) to be working fine.