Derrick is the basic equipment during drilling, fatigue and failure are the problems that effect drilling efficiency, the strong vibration of derrick is the main reason that caused derrick failure. The various kinds of vibration of drilling derrick are analyzed in this paper. The model of derrick JJ60/38-W is set up, the phenomena of vibration of derrick are studied, and the vibration state behaves many dynamic situations under the bad condition, including axial, lateral, torsional vibration. These vibrations are studied; the rule of various kinds of vibration is obtained. The modal vibration and harmonic vibration are analyzed, the situation of harmonic vibration of different nodes of derrick are obtained. The software ANSYS is applied in this paper, the result can be used for the actual drill case.