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. It was launched from Baikonur Cosmodrome in Kazakhstan at 07:52 UT on October 31, 2000 by a Soyuz-U rocket.

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.