New HP Printer Software Not Compatible with Mac

I am attempting to install the HP software on my Mac PC with OS X 10.8 Mountain Lion. The installer came from my printer which I recently bought. But I am getting a compatibility issue during the installation and I cannot continue. How can I fix this? Attached below is the error message I encountered. I hope someone can help me. I don't have other PC to use this new printer and I need to install this on Mac only.

This HP software may not be compatible with your version of Mac OS X.
This software is supported on Mac OS X v10.6 – v10.7. Please check www.hp.com/support for more information.
Continue Quit
