The invention relates to the technical field of vibration noise control, in particular to a torsion vibration absorber with piecewise linear rods. According to the technical scheme, the torsion vibration absorber comprises a supporting disc, a bearing, a shaft sleeve, a fastening screw, a connection rod, the piecewise linear rods and a vibration absorbing mass block. The supporting disc is of a disc structure, the supporting disc is fixedly connected to a rotor, the vibration absorbing mass block is of a disc structure, the vibration absorbing mass block is provided with a center hole and fourcircular arc grooves distributed evenly in the circumference with different slot widths and different circular arc angles, the supporting disc is fixedly connected with the vibration absorbing mass block through the connection rod, the piecewise linear rods are four rigid rods with different diameters, one end of each piecewise linear rod is fixedly connected with the supporting disc, and the other ends of the piecewise linear rods are placed into the four circular arc grooves correspondingly and keep gaps away from the angular displacement direction of the circular arc grooves. The torsion vibration absorber with the piecewise linear rods is simple in structure, wide in vibration suppression frequency band and remarkable in effect.