From Adobe's faq:
Can I use my software on two computers?
If you own, or are the primary user of, a single-user or volume license Adobe product that is installed on a computer at work, you can also install and use the software on one secondary computer of the same platform at home or on a portable computer. However, you may not run the software simultaneously on both the primary and secondary computers.
So yes, providing they are both Windows or both Mac. Can't mix the two platforms. You will need to organise where you store files though so they are available from each computer.