CIT Bank prides itself on being an online bank with no monthly or opening services fees. There are some fees for certain activities; however, the fees are pretty standard compared to other online banks. For example, if you need to stop a payment from your Money Market Account, it’ll cost you $30. On the other hand, if you run into insufficient funds for any of your CIT Bank savings accounts, you won’t be charged a fee at all.  If you’re worried about a specific fee, check out CIT Bank’s fee schedule.