Well, since you didn't provide the error message or any other useful information, I am presuming that you got this message when you attempted to execute the installer:
ERROR: Your architecture, \'x86_64\', is not supported by the Adobe Flash Player installer.
Assuming OpenSuSE 64-bit is standards compliant, the problem is Adobe not the 64-bits. To install Flash Player on an x86_64 machine you can do the following:
wget http://svn.cross-lfs.org/svn/repos/patches/flashplayer/flashplayer-18.104.22.168-allowx86_64-1.patch &&
cd install_flash_player_9_linux &&
patch -Np1 -i ../flashplayer-22.214.171.124-allowx86_64-1.patch &&
Of course, Flash Player is ONLY available as a 32-bit library. If OpenSuSE 64-bit is standards-compliant, then no problem.