Awus036H did not support MAC OS 10.8 and only supports 32 bit: AWUS036H works on 32-bit Mac only.
If your Mac system is running on 32-bit CPU and you just upgraded the Mac OS to latest version then your AWUS036H is still compatible to it. However, if you just purchased a new Mac system with 64-bit CPU and built-in Mac OS 10.7 or later version then you need to boot your computer into 32-bit in order to run the application with device. And you can find the installation guide @ http://alfanetworkinc.blogspot.com/2011/08/install-awus036h-onto-mac-os-107.html
To identify whether your Mac system is running on 64-bit or not https://support.apple.com/en-us/HT3770 036NHR work 10.8
Please use following hyperlink to download driver for AWUS036NHR for Mac system, https://www.asuswebstorage.com/navigate/s/C6445FED522B4C06B6661951B58959A2YAuthor: George Hardesty