Every landlord will differ.
However, in order for them to hold the security deposit, a separate account will need to be set up, and that may require the bank to ask for some ID to report the interest to.
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All landlrods are differnet in terms of what they will require. You may need proof that you are in the country legally (visa etc) and then some will require some sort of documentation that you have decent credit and pay your bills on time. For some, this might be a bank statement, for others, they may want to see a credit card bill.
It depends on what your traveling for and who the owner is. Students need an I-20 for the most part, but I've had ESL( English As a Second Language) students get approved just using their passport and and family funds documents. If you are coming to work in Boston from overseas, you will need a J-1 or another working Visa. The US has different agreements with many countries and depending on which visa you have could mean approval or rejection. If the owner is unfamiliar with the international relocation process, this is when having an experience and highly regarded real estate Broker comes in handy (hint hint). I specialize in assisting individuals relocating from abroad or just from another state.