Answer:
Usually, to open an account at a bank, you must provide multiple forms of ID. If you have a valid Driver's License, a Military ID card, or a Alien Residency Card these are accepted at a bank when opening an account. Your bank will also, most likely, require you to have two or more forms of ID to confirm your address. Sometimes you can provide a piece of recent mail (like a bill for utilities or phone service) that has been mailed to you at your current residence.
When coming to the bank after your accoutn is set up, usually one form of picture ID is all that is needed when completing transactions such as cashing checks and withdrawing money.