Space holds a fascination for all of us. For many, it represents a final physical frontier, a place to explore the very essence of knowledge, to experiment with new technology, and to seek new levels of human adaptation and change. As the major spacefaring nation on our planet, the United States has taken special pride in our achievements in space. Discoveries in space science have already added immensely to our fund of knowledge. U.S. scientists have moved quickly to take advantage of new opportunities for learning, and the future of scientific work in space is virtually unlimited. Given the promise of space, an additional issue comes to the fore. How can the United States proceed in space in relation to the other principal spacefaring nation and superpower, the Soviet Union? What is to be gained or lost by working together in space? With regard to science in particular, can the two countries benefit from joint efforts? Can the two countries cooperate as well as compete? Since the beginning of the space age, the two countries have been examining these questions. This study was requested by Senators Matsunaga, Mathias, and Pell as a means to shed light on the subject at the time of the 10th anniversary of the major U.S.- Soviet cooperative endeavor, the Apollo-Soyuz Test Project. OTA is pleased to be able to provide this technical memorandum, outlining the principal issues of the debate, the history of cooperation, and the experience of France, another country involved in space cooperation with the U.S.S.R. Additional OTA documents that may be of interest include Civilian Space Stations and the U.S. Future in Space, Salyut: Soviet Steps Toward Human Presence in Space, and International Cooperation and Competition in Civilian Space Activities. OTA studies in the areas of technology transfer are cited in the text.