The invention discloses a pulling-out working method of a traveling and hoisting empty hook deviated wellhead. In pulling-out work, when a pipe column processing mechanism occupies a wellhead position and a drill string is clamped and matched with a buckle unloading tool on a drilling platform to be subjected to buckle unloading operation, a travelling block and a top drive are retracted back respectively through a travelling block retracting mechanism and a top drive retracting mechanism to reach the position of the central line of the deviated wellhead, and the wellhead is yielded, so that simultaneous releasing is realized. The invention further discloses a drilling-down working method of the traveling and hoisting empty hook deviated wellhead. In drilling-down work, when the pipe column processing mechanism occupies the wellhead position and the drill string is clamped and matched with the buckle unloading tool on the drilling platform to be subjected to buckle loading operation, the travelling block and the top drive are retracted back respectively through the travelling block retracting mechanism and the top drive retracting mechanism to reach the position of the central line of the deviated wellhead, and the wellhead is yielded, so that simultaneous hoisting is realized. With the adoption of the method above, time of moving out (or conveying) an elevator of a traveling system by utilizing the pipe column and unloading (or loading) a buckle on the pipe column is effectively utilized so that the working efficiency is improved.