More info from your end MAY help. What type of computer (PC or MAC)? Operating system and revision level? What Browser do you use (and have you tried a different one)?
I have not attempted to change my password for ages, (and given your problem, I'm not sure I even want to try, which might incur problems for me too!), but some more info about what you are using and what you are seeing would probably be benneficial to those of us that have some modicum of a chance at guessing what the problem is.