A model of the ISS
The ISS in orbit over Earth
The ISS in the time stream
The International Space Station was one of Earth's first internationally combined efforts in exploring outer space. It 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 mission patch of the ISS (and several of its various "expedition" patches) were on display in the 602 Club during the 2140s. (ENT: "First Flight")
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")
Beginning with the year 2370, Benjamin Sisko had a model of the ISS in his office aboard Deep Space 9. The model was housed in a glass casing in the beginning put was later displayed without the casing in his office next to Ops. (Star Trek: Deep Space Nine)
Selected Appearances
Background
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]