I just bought iPhone 5 and want my ringtones from my old phone?

So my computer that I got my original ringtones from is broke so now that I got a new phone I wanna know If there's any way to get my ringtones from my old phone to my new one?

Generally no. Depends on where you got them. If you got them in iTunes tech support may be able to issue a regrant since you can't re-download ringtones from iTunes. If you got them from another place you will have to go back to the source.