Soyuz TM-31 was the first Soyuz spacecraft to dock with the International Space Station (ISS). This Soyuz-TM spacecraft carried the members of Expedition 1, the first long-duration ISS crew.

The crew consisted of Russian cosmonauts Yuri Gidzenko and Sergei Krikalev, and American William Shepherd. Gidzenko was Commander of the flight up, but once aboard the station, Shepherd became Commander of the long-duration mission Expedition 1.

The spacecraft served as the crew's lifeboat while docked to the ISS. The Expedition 1 crew were returned to Earth via a Space Shuttle during STS-102 in March 2001, and the Soyuz TM-31 spacecraft stayed with the station for part of Expedition 2. In April 2001 another spacecraft, Soyuz TM-32, arrived at the station, and took over responsibilities as the station's lifeboat. The crew launched by Soyuz TM-32, which included the first paying space tourist Dennis Tito, were returned to Earth in May aboard Soyuz TM-31. The visiting mission of which Tito was a part is sometimes referred to as ISS EP-1.

The Soyuz is a Soviet crewed spaceship, developed to made crewed lunar missions. This version called 7K will fly 4 times on the giant launcher N1, and several tens of times on Proton to fly over the Moon, which will be successful during the mission Zond 4. Soyuz will become the first spacecraft to transport living beings to the Moon during the flight of Zond 5, with two turtles. Subsequently, it is adapted to low orbit and will fly on the Soyuz launcher to serve the Salyut and Mir stations and the ISS.