I sent the following to the wrong recipient earlier today:

---------- Forwarded message ----------

Programs such as rsync and BittorrentSync only work if both computers are up and running.
My computer at home is switched off when I don't use it and the same goes for my
computer at work...

I have experimented a little with WebDAV but have failed to automate syncing to the server.
I have not spent a lot of time on this so I don't say it isn't possible.

--------- Added comment: --------------

Commercial services such as Dropbox may not be OK for company sensitive material.
Your mileage on this may differ depending on your company, where you live and the
service provider.