A corrugated pipe connection device is completely coupled by primarily screwing a nut and a socket after interposing a clamping ring between the nut and the socket, inserting an one-side portion of a corrugated pipe, including a groove and a ridge that are successively and alternately formed, into the nut, and secondarily screwing the nut and the socket so that an inner portion of the clamping ring is inserted into the groove of the corrugated pipe and a distal end of the corrugated pipe is pressed. The corrugated pipe connection device is easily coupled in a simplified manner and is capable of achieving enhanced sealing efficiency.