A high-frequency vibrating transverse drum cutter head, and a drum cutter machine and a tunnel boring machine with such drum cutter head are disclosed. The transverse drum cutter wheel of the high-frequency vibrating transverse drum cutter head is driven by the cutting motor to rotate, the transverse drum cutter wheel is provided with cutting teeth, the transverse drum cutter wheel is mounted on one end of the drum cutter head base, the other end of the drum cutter head base is connected to a U-shaped drum cutter mechanism body, a connecting base is mounted on the U-shaped drum cutter mechanism body and used for mounting the high-frequency vibrating transverse drum cutter head on a drum cutter machine or a tunnel boring machine, a vibration box is mounted on the drum cutter head base, and the vibration box is adapted to output high-frequency vibration force to the transverse drum cutter wheel through the drum cutter head base, so that the transverse drum cutter wheel 16 is able to perform high-speed repetitive vibrating movement while achieving its own rotation. Both rotation motion and high frequency repetitive vibration can be implemented at the same time by the present invention, through the combination of the transverse drum cutter wheel and the vibration box, making the cutting teeth on the drum cutter wheel apply combined action of impacting and cutting on the contacted materials.