Earlier, Adobe Flash 10.2 Player "Square" was released for Windows, Mac and Linux - with 64-bit support.
If you want t install it in Ubuntu (9.10, 10.04 & 10.10), there is already a PPA just for that. Simply follow these steps:
Note: This is a prview; not the final release.
$ sudo add-apt-repository ppa:sevenmachines/flash
$ sudo apt-get update
$ sudo apt-get install flashplugin64-nonfree
[via: Ubuntu Geek]