The answer depends on which version of Babylon you wish to use and where.
Free Babylon Version:
The free version of Babylon can be installed by private users on as many computers as you require. If you require the software for Business use, or intend to use it in a business environment, you are not allowed to use the free version and are required to purchase a business license.
Paid Babylon Version:
Each purchased license is valid for one workstation only. If you wish to install Babylon on additional workstations, you are required to purchase additional licenses for the software and any additional premium add-on you wish to use.
If you wish to move the license from one machine to the other, please first uninstall the software from the current machine before installing on the new machine.