You certainly do not. Hell, you can do a sign and drive with ccap where not only do you not have to put anything down, ccap will pay your first month's payment in exchange for bump to the mf.And I don't know what the guy above is talking about you have to put down some type of Down payment. He clearly has never leased BMW of benz
Even on bmw or mb leases, you can almost always do just first month's payment due at sale. Dealers just love to push big downpayments as a psychological tool to make the payment look more palatable. People balk a lot more at an extra $100/mo than $4k das.
I will disagree with using if you're planning on keeping it long term as being a reason to put money down on a lease though.