We review the experiment design and development of the lunar laser communication demonstration (LLCD) on the Lunar Atmosphere and Dust Environment Explorer spacecraft launched by the National Aeronautics and Space Administration (NASA) of USA on September 6th, 2013. When the space terminal is in orbit, bidirectional communications are performed with the main lunar laser communication ground terminal or with the European Space Agency's lunar laser communication optical ground system, but only downlink communications are performed with the Jet Propulsion Laboratory's lunar laser communication optical communications telescope laboratory (OCTL) terminal. Besides laser communication, bidirectional time-off light measurements are performed by LLCD system with sub-centimeter ranging accuracy. The future NASA laser communication relay demonstration will be developed on the basis of LLCD system. Finally we discuss the knowledge learned from LLCD.