Abstract: With frequent activities of various countries in the outer space, the probability of damage caused by space debris is also increasing, which lays a legal foundation for the research on the international regime of liability of the damage for the effective regulation of outer space activities and the relief of victims. By analyzing the various types of sources of international law relating to the liability, it is found that though there is no specific law for the regulation, according to the close relationship with space objects and activities in outer space, the international system concerned can be used to the liability of the damage caused by the space debris. And the maxim lex specialis derogat legi generali is a generally accepted rule of interpretation and conflict resolution.