The invention relates to a method for unloading, transporting and installing a railway track, which does not require the rail-carrying train to be brought closer after each cycle of unloading continuous welded rail (CWR), the train remaining parked at the end of the track already laid until all the CWR has been completely unloaded. According to the invention, the method consists of: fastening two rails to a crane of an unloading wagon and moving same through windows along the wagon, facilitating the descent thereof to the track; transferring the rails to a machine for pulling and positioning which moves along, leaving the rails supported on transport elements that move along the track already laid; transferring the rails from the track already laid to a section of sleepers; and moving the rails to their final position, using sliding elements placed on the sleepers.