The invention discloses an inclined cable soft and hard combination three-stage traction process and a connecting device. After an inclined cable is hung at the tower end, a hard traction device stretching rod is connected on the anchor head of the beam end of the inclined cable, to operate the first stage traction of a winch; after the anchor head of the beam end of the inclined cable reaches the hanging shifting angle of the beam end of the inclined cable and a sling is adjusted, the second stage traction is operated to adjust the hanging angel of the beam end of the inclined cable till the stretching rod is anchored; lastly, the third stage traction is operated. The soft traction and hard traction combination construction method of the invention comprises the following steps: a soft traction steel strand is connected on the stretching rod through a soft traction connecting sleeve, the other end of the stretching rod is connected with the anchor head of the inclined cable through a diameter changing head, and the hard traction is operated consecutively after the soft traction is ended. The invention has the advantages that the operation is simple and secure, the working efficiency is high, and the inclined cable soft and hard combination three-stage traction process is the technical innovation of the inclined cable construction process. A traction connecting device matched with the traction process is staged and collocated according to the traction force, the structure is simple, reasonable, simple and effective, and the installation is convenient.