I quote from Wilkipedia as a starting point
1998 ISS agreementIn addition to the international treaties that have been negotiated at the United Nations, the nations participating in the International Space Station have entered into the 1998 Agreement among the governments of Canada, Member States of the European Space Agency, Japan, Russian Federation, and the United States of America concerning cooperation on the Civil International Space Station (the "Space Station Agreement"). This Agreement provides, among other things, that NASA is the lead agency in coordinating the member states' contributions to and activities on the space station, and that each nation has jurisdiction over its own module(s). The Agreement also provides for protection of intellectual property and procedures for criminal prosecution. This Agreement may very well serve as a model for future agreements regarding international cooperation in facilities on the Moon and Mars, where the first off-world colonies and scientific/industrial bases are likely to be established.
[edit] National lawSpace law also encompasses national laws, and many countries have passed national space legislation in recent years. The Outer Space Treaty requires parties to authorize and supervise national space activities, including the activities of non-governmental entities such as commercial and non-profit organizations. The Outer Space Treaty also incorporates the UN Charter by reference, and requires parties to ensure that activities are conducted in accordance with other forms of international law such as customary international law (the custom and practice of states).
The advent of commercial space activities beyond the scope of the satellite communications industry, and the development of many commercial spaceports, is leading many countries to consider how to regulate private space activities. The challenge is to regulate these activities in a manner that does not hi