This documentary is dedicated to the history of the legendary "handshake in the cosmos", the orbital rendezvous of the Soviet and American spacecraft "Soyuz 19" and "Apollo" in 1975. The event occurred in full Cold War between the USSR and the United States. This unique international project marked an important step of the two nuclear powers towards each other and the friendly handshake between the captains of the crews Alexey Leonov and Thomas Stafford gave hope for a political warming on earth. The film uses images from documentary chronicles and the memories of the participants of these historic events: the pilot and cosmonaut of the USSR, twice Hero of the Soviet Union, the general and air force commander Alexei Arkhipovitch Leonov, and the general of aviation, fighter pilot, NASA astronaut, Thomas Patten Stafford.