Launch from the Baikonur Cosmodrome; landing with Soyuz TM-3 spacecraft 140 km northeast of Arkalyk. This mission was the maiden manned voyage of a Soyuz TM spacecraft.

Following a two day solo flight Soyuz TM-2 docked with the MIR-Progress 27 space station on February 07, 1987. The cosmonauts became the second resident crew.

On this mission the crew used the new docking system Kurs for the first time. Kurs was the successor to the IGLA system and today provides navigation beaconing for Russian space vehicles. When used for docking, the Soyuz or Progress vehicle broadcasts radar pulses from multiple antennas. The variation in strength between the antennas allows the system to compute relative position, attitude, and approach rate. The system is designed for automatic rendezvous and docking, but in an emergency cosmonauts may take command of the vehicle either locally, or from the MIR.

Onboard the MIR the crew performed various scientific research work, including geophysical exploration of middel Asia, the Kaspian Sea and the Caucasian region, spectralanalyses, production of semiconductor-materials with the Korund 1M apparatus (48 different experiments) and photographs of the Earth surface. Other experiments were medical research, research work with fluids, building of metal alloys (Copper and Silver), plant growing experiments in the Phyton and Rost- apparatus, mounting the MKS-M2 optical spectrometer and a photometer for astrophysical experiments.

Early in the Soyuz TM-2 crew stay on MIR, the Kvant1 module was launched to automatically dock with MIR. Kvant consisted of the space station module (11 tons) and a unique FGB-based vehicle called the Functional Service Module (FSM) (9.6 tons). The FSM carried out major maneuvers on April 02, 1987 and on April 05, 1987. On April 05, 1987 its Igla approach system began homing on MIR's aft port. The Tamyrs retreated to Soyuz TM-2 so that they could escape in the event the module got out of control. About 200 m out, the Igla system lost its lock on MIR's aft port Igla antenna. The cosmonauts watched from within Soyuz TM-2 as the Kvant / FSM combination passed within 10 m of the station.

Kvant and its FSM drifted 400 km from MIR before being guided back for a second docking attempt. The soft dock occurred early on April 09, 1987. Kvant's probe unit would not retract fully, preventing hard docking between MIR and Kvant. The Soviets left Kvant soft docked while they considered a solution. Maneuvers were impossible during this period, because the probe of the Kvant / FSM combination would wobble loosely in MIR's aft port drogue unit, banging the docking collars together.

Three EVAs were performed: The first one was on April 12, 1987 (3h 40m) to repair the problem with Kvant. They discovered a foreign object lodged in the docking unit, probably a trash bag they had left between Progress 28 and MIR's drogue. On command from the TsUP, Kvant extended its probe unit, permitting the cosmonauts to pull the object free and discard it into space. Kvant then successfully completed docking at a command from the ground. The second EVA on June 12, 1987 (1h 53m) was needed to install a new solar array delivered with Kvant. In the third EVA on June 16, 1987 (3h 15m) they mounted additional segments (24 m²) on the third solar array, attached its electrical connections to the MIR power system, and extended it to its full 10.6-m length.

Aleksandr Laveykin developed heart irregularities which made necessary his early return to Earth. The crew was partly (Aleksandr Laveykin) exchanged. After that, the research work didn't end. Yuri Romanenko and cosmonaut Aleksandr Aleksandrov performed more than 1000 astrophysical, geophysical, medical, biological and technological experiments.

A new long duration record was set by Yuri Romanenko (326 days).

Aleksandr Laveykin landed on July 30, 1987 at 01:04 UTC with Soyuz TM-2 spacecraft.