There are two ways to get AmiBroker running under linux.

[Free Software]
1) Use Wine from: http://www.winehq.org/

[Purchased Software]
2) Use CrossOver from: http://www.codeweavers.com/

Currently the use of CrossOver is recommended for people new to linux.

[CrossOver]
The Advantage of CrossOver is it's easier to setup, support is available from the distributors (Codeweavers) and changes to the software are less frequent, Giving you a more stable platform. CrossOver also has guaranteed support for other major windows applications such as Microsoft office, Quicken, iTunes etc.

[Wine]
The Advantage of using Wine is it's free, Has a faster development/update cycle and is often pre-installed or available for easy download from your distribution package repository. Generally, It works the same as CrossOver but at the expense of being harder to setup & it's regular updates make it a less stable platform.