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")
The assignment patches for the ISS Program and for a three-man team were on display in the 602 Club in 2143. (ENT: "First Flight")
The ISS in the time stream
After Jonathan Archer restored a damaged timeline, the ISS could be seen in the time stream as the timeline realigned itself. (ENT: "Storm Front, Part II")
A sketch depicting an overhead view of the ISS was contained in the library computer aboard the USS Enterprise in 2254. (TOS: "The Cage" remastered)
A model of the ISS
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
Appendices
Selected appearances
Background information
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) [1]
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.
According to the reference work Ships of the Line (page 8), in the 2150's, the ISS has remained in Low Earth Orbit and hasn't been destroyed by a controlled re-entry. (In the real world, the Russians are planning to destroy the station in 2020 by plunging it into the Pacific Ocean just as they did with Mir.)