  \'{E}tale difference algebraic groups are a difference analog of \'{e}tale
algebraic groups. Our main result is a Jordan-H\"{o}lder type decomposition
theorem for these groups. Roughly speaking, it shows that any \'{e}tale
difference algebraic group can be build up from simple \'{e}tale algebraic
groups and two finite \'{e}tale difference algebraic groups. The simple
\'{e}tale algebraic groups occurring in this decomposition satisfy a certain
uniqueness property.
