A structure to connect a refrigerant pipe and an air conditioner having the same, the connecting structure enabling a refrigerant pipe to be easily connected to an indoor unit or an outdoor unit of an air conditioner and including a refrigerant pipe through which refrigerant flows, a socket part connected to one end of the refrigerant pipe, and a coupling nut coupled to an outer circumferential surface of the socket part, wherein, a socket part is provided with a grip-ring allowing the refrigerant pipe to move in a first direction in which the refrigerant pipe is coupled to the socket part and preventing the refrigerant pipe from moving in a second direction in which the refrigerant pipe is separated from the socket part, and at least one O-ring configured to prevent refrigerant from leaking at the socket part.