There is only one native American beech species - Fagus grandifolia or American beech. 

It is, however, a beautiful tree and worthy of any garden that is large enough to tolerate its large size (to 100 ft.). It will respond well to pruning so there is a possibility of growing it in a smaller garden. It can be grown in USDA Zones 4 to 9. It prefers slightly acidic soil that is not wet or compacted.

There are no cultivars of American beech but there are many cultivars available of the closely related Fagus sylvatica or European beech. These include varieties with weeping structure, columnar form and various leaf colors. This fact sheet from the University of Connecticut College of Agriculture lists some of the interesting cultivars that are appropriate for a Northeastern setting.

Courtesy of NYBG Plant Information