The purpose of this paper is to research on the liability for the space damage and the settlement of the dispute with reference to the space activity under the international space treaty and national space law of Korea. The United Nations has adopted five treaties relating to the space activity as follows: The Outer Space Treaty of 1967, the Rescue and Return Agreement of 1968, the Liability Convention of 1972, the Registration Convention of 1974, and the Moon Treaty of 1979. All five treaties have come into force. Korea has ratified above four treaties except the Moon Treaty. Korea has enacted three national legislations relating to space development as follows: Aerospace Industry Development Promotion Act of 1987, Outer Space Development Promotion Act of 2005, Outer Space Damage Compensation Act of 2008. The Outer Space Treaty of 1967 regulates the international responsibility for national activities in outer space, the national tort liability for damage by space launching object, the national measures for dispute prevention and international consultation in the exploration and use of outer space, the joint resolution of practical questions by international inter-governmental organizations in the exploration and use of outer space. The Liability Convention of 1972 regulates the absolute liability by a launching state, the faulty liability by a launching state, the joint and several liability by a launching state, the person claiming for compensation, the claim method for compensation, the claim period of compensation, the claim for compensation and local remedy, the compensation amount for damage by a launching state, the establishment of the Claims Commission. The Outer Space Damage Compensation Act of 2008 in Korea regulates the definition of space damage, the relation of the Outer Space Damage Compensation Act and the international treaty, the non-faulty liability for damage by a launching person, the concentration of liability and recourse by a launching person, the exclusion of application of the Product Liability Act, the limit amount of the liability for damage by a launching person, the cover of the liability insurance by a launching person, the measures and assistance by the government in case of occurring the space damage, the exercise period of the claim right of compensation for damage. The Liability Convention of 1972 should be improved as follows: the problem in respect of the claimer of compensation for damage, the problem in respect of the efficiency of decision by the Claims Commission. The Outer Space Damage Compensation Act of 2008 in Korea should be improved as follows: the inclusion of indirect damage into the definition of space damage, the change of currency unit of the limit amount of liability for damage, the establishment of joint and several liability and recourse right for damage by space joint launching person, the establishment of the Space Damage Compensation Review Commission. The 1998 Final Draft Convention on the Settlement of Disputes Related to Space Activities of 1998 by ILA regulates the binding procedure and non-binding settlement procedure for the disputes in respect of space activity. The non-binding procedure regulates the negotiation or the peaceful means and compromise for dispute settlement. The binding procedure regulates the choice of a means among the following means: International Space Law Court if it will be established, International Court of Justice, and Arbitration Court. The above final Draft Convention by ILA will be a model for the innovative development in respect of the peaceful settlement of disputes with reference to space activity and will be useful for establishing the frame of practicable dispute settlement. Korea has built the space center at Oinarodo, Goheung Province in June 2009. Korea has launched the first small launch vehicle KSLV-1 at the Naro Space Center in August 2009 and June 2010. In Korea, it will be the possibility to be occurred the problems relating to the international responsibility and dispute settlement, and the liability for space damage in the course of space activity. Accordingly the Korean government and launching organization should make the legal and systematic policy to cope with such problems.