The International Space Station was one of Earth's first internationally-combined efforts in exploring outer space. The station was jointly serviced by American space shuttles and Russian Soyuz and Progress spacecraft.
In 1999, astronaut Lieutenant McMillan was scheduled to be the co-pilot on a joint mission between NASA and the Europeans for a four month tour on the International Space Station that began in 2003. (VOY: "11:59")
Beginning with the year 2370, Benjamin Sisko had a model in his office aboard Deep Space 9 of the ISS with the space shuttle Enterprise docked. The model was housed in a glass casing in the beginning but was later displayed without the casing in his office next to Ops. (Star Trek: Deep Space Nine)
ISS crew Edit
Selected appearances Edit
Background information Edit
The model of the International Space Station seen in Star Trek: Deep Space Nine was given to the series by Majel Barrett. The DS9 art department added a model of the Enterprise (OV-101) and displayed it docked to the ISS. (Star Trek Encyclopedia) 
The names Gidzenko, Krikalyov, and Shepherd were names seen on a mission insignia in the 602 Club. They were the first inhabitants of the space station on Expedition 1. Their mission patch, seen in the 602 Club, shown the space station on a blue background and the names of the Russian astronauts were written in their native Cyrillic alphabet.
E. Michael Fincke, who appeared, along with fellow NASA astronaut Terry Virts in ENT: "These Are the Voyages...", has spent a year, total, aboard the ISS, from April to October 2004 (speaking with Scott Bakula while in space) and again from October 2008 to April 2009 - Virts himself piloted the shuttle Endeavour on a mission to the station in February 2010. He later returned to the station in November 2014 as Flight Engineer of Expedition 42/43.
According to the reference work Ships of the Line (p. 8), in the 2150s, the ISS has remained in Low Earth Orbit and hasn't been destroyed by a controlled re-entry. (In the real world, the ISS is planned for controlled re-entry in 2024/2028, a similar fate to MIR)