To ease some tension and stop the spreading of nuclear technology from happening, President Nixon of the United States and the Premier of Soviet Union, Alexei Kosygin signed a treaty in 1972.
Soviet and the U.S launched the Apollo-Soyuz Test project. Apollo being the U.S's and Soyuz being the Soviet's. They met high above the Earth and docked. This happened because of the pact that promised an American-Soviet mission to space.
The Space Race between the US and the Soviet Union ended with a gesture that signaled the end of competition. A firm hand shake between an American astronaut and a Soviet cosmonaut while in their ships