Soyuz TM-7 was the seventh manned spacecraft to dock with the Soviet Space Station Mir. Its launch in November 1988 represented the start of the fourth long duration expedition, Mir EO-4, as it carried two more Soviet cosmonauts, Sergei and Alexander Volkov, to the station. They would join the third crew member of EO-4, cosmonaut/physician Valeri Polyakov who was on Mir for the second half of EO-3. Also launched by Soyuz TM-7 was French astronaut Jean -Loup, who would take part in the 24 day French mission known as Mir Aragatz. The spacecraft Soyuz TM-7 remained docked to Mir for the duration of EO-4. At the end of EO-4 in April 1989, due to delays in the launch schedule, Mir was left unmanned, and all three EO-4 crew members were transported back to Earth.

The original launch date of November 21 was moved back to permit French president François Mitterrand to view the launch, which was also attended by David Gilmour and Nick Mason of Pink Floyd, who made an audio recording of the event for potential use in a future project. The spacecraft arrived at the Mir station carrying a three-man crew, including French cosmonaut Chrétien on his second flight into space. Titov, Manarov, and Chrétien returned to Earth in Soyuz TM-6. Alexander Volkov, Sergei Krikalev, and Valeri Polyakov remained aboard Mir. On 1989 April 28, they left Mir in mothballs and returned to Earth in Soyuz-TM 7. The Soyuz-TM land landing system is effective at reducing velocity in the vertical direction. However, according to cosmonaut Sergei Krikalev, winds at the landing site often impart considerable horizontal velocity. As a result, about 80 percent of all Soyuz descent modules come to rest on their sides.[citation needed] During the rough landing, Krikalev suffered a minor injury to his knee.

Preparations for the first EVA involving a non-Soviet/non-U.S. space traveler forced the cosmonauts to cut short a TV meeting with diplomats from 47 countries on December 8. On December 9, Chrétien and Volkov depressurized the multiport docking adapter and clambered outside Mir. Chrétien was first out. He installed handrails, then attached the 15.5 kg (34 lb) Échantillons experiment rack to the handrails by springs and hooks. He also attached electrical wires leading from the rack to Mir's power supply. Échantillons carried five technological experiments with applications to the Hermes shuttle program. Volkov and Chrétien then assembled the 240 kg (530 lb) experimental deployable structure (known as ERA). They attached a mount to handrails on the frustum linking the multiport docking unit to the small-diameter portion of the work compartment. After resolving problems with cables linking ERA to a control panel inside Mir, they attached the folded ERA structure to a support arm on the platform. The structure was designed to unfold to form a flat six-sided structure 1 metre deep by 3.8 metres across. From inside Mir, Krikalev commanded the structure to unfold, but to no avail. Volkov then kicked ERA, causing it to unfold properly. According to Krikalev, taking the ERA outside helped relieve the crowding problems. The EVA lasted 5 hours and 57 minutes.

The crew took with them a cassette of Pink Floyd's newly released live album Delicate Sound of Thunder (minus the cassette box, for weight reasons) and played it in orbit; this was claimed by David Gilmour to have been the first rock music recording in space. The tape was left on Mir when the mission crew returned to Earth.