Railway is one type of the transportations mode that has many enthusiasts considering this fleet has special features when compared by other transportations mode, the special feature are railway can transport passengers and/or goods in larges quantities at once in one trip with cheaper cost than other transportations mode. The purpose of this research are to know responsbility of PT. Kereta Api Indonesia Area of Operation VI Yogyakarta towards passenger connection ticket owner to railway delays and to find out legal effort that can do by passenger connection ticket owner to railway delays if they suffered losses due to railway delays. This research is normative law research, it is mean law research that put law as a bulding of norms system. The system of norms is about the principles, norms, rules of legislation, court decisions, agreements and doctrines (teachings). The result from this research and analysist shows that PT. Kereta Api Indonesia Area of Operation VI Yogyakarta may be reponsible to passenger for the railway delays inter-city with two conditions, the conditions are delays not included due to disruption during the trip (weather and technical operations/ accident) and delays occurs more than 3 (three) hours or more than 5 (five) hours. There are two attempts for passenger connection ticket owner that does not meet those requirements. The first effort is PT. Kereta Api Indonesia Area of Operation VI Yogyakarta provides a way out when the train will delays. Passengers who feel the trains they use will be delayed, to immediately coordinate with the conductor to cancel the train tickets for the connection. The second attempt is an effort based on the legislation or legal efforts that passengers can take as consumers to obtain compensation is that the settlement of consumer disputes may be made through court (litigation) or out of court (non-litigation) based on the voluntary choice of the parties to the dispute.