The US National Aeronautics and Space Administration (NASA) has launched the Lunar Atmosphere and Dust Environment Explorer (LADEE) spacecraft on September 6th, 2013. We review the terminal design of the lunar laser communication demonstration (LLCD) on LADEE, while the experiment design and development of the LLCD will be reviewed in another paper. LLCD system mainly includes one space terminal onboard, three earth-based terminals and one earth-based operation center for coordination, where bidirectional laser communications are mainly performed between the space terminal and the multi-aperture telescope array earth-based terminal at downlink data rates up to 622 Mb/s and uplink up to 20 Mb/s. When the weather is considered, two additional earth-based terminals, as back-ups for support, provide geographic diversity.