Get your taxes done using TurboTax

Yes, you may load the program on more than one computer.  There are no restriction on the number of times the CD can be installed or the number of times the program can be downloaded from the store server.

As mentioned, your data will only be on one computer unless you use a flash drive or shared online space (Dropbox, etc.).  So be careful that you are working with the correct version if you switch computers.