The strap is on the top part that flips up. On the inside so you can slip your hand in it if say you are showing something or standing up and don't want to drop it. It stays closed with a magnet that wakes it and puts to sleep. It does not come open.
It is extremely durable and thick. I have dropped my IPad with the Snugg on and there has been no damage. It was from waist high though and did drop flat, not on an end. I still have not seen a better case.