Soyuz 36 was the ninth mission to visit the Salyut 6 space station and carried the EP-5 crew, which visited the long-duration Soyuz 35 resident crew. The mission began on May 26, 1980, 18:20:39 UTC, launching Commander Valery Kubasov and Research Cosmonaut Bertalan Farkas, the first Hungarian cosmonaut, into orbit. They docked with the station the next day. During their 7-day stay on the station, EP-5 crew conducted various scientific experiments, including measuring radiation doses received by the crew. Soyuz 36 swapped vehicles with the resident station crew, and returned in Soyuz 35 spacecraft.
The mission concluded with a safe landing back on Earth on June 3, 1980, 15:06 UTC.