There is no minimum height as long as you are in physical shape and meet all the requirements of being on the team! There are challenges that you have to meet and height is not an issue. Most if not all events are more geared to strength and balance and not so much height.
There is no minimum height to be on the USA gymnastics team, or any gymnastics team for that matter. Most gymnasts are shorter than the average person their age, but there are not height requirements.
There is not a minimum height. As long as you can compete on all the different events without changing the height of them (uneven bars, vault, etc) then there is no minimum height
