Currently there is no AceStream version available for Linux installations. So to install it you will have to use windows release under wine or just follow the step-by-step instructions of the Linux users described here

Technically you can't run Acestream on a Mac, however, there are third party video player applications out there that incorporate Ace Stream's technology. What that means is that if you want to use Ace Stream on a Mac, you have to download a video application like Soda Player that includes native support for Ace Stream links.
Another alternative way to perform Acestream installation on Mac is by using of wine.