Please forgive me but this did not answer my question. Maybe I am asking it wrong but my current computer crashed and I have a new one with windows 8 and I want this software to work on it and I need to know if I can do that and if so how do I install this software on the new computer. Thank you in advance for all your help.
Yes, Michael's first link did answer your question. He pointed you to the system requirements, which clearly state that you can use After Effects on Windows 8.
If your question is how to install the software on the new computer, the answer is simple: the same way that you installed it on your other computer.