The invention is a torsion property measuring method and apparatus for flexible material. The method is that upper end of simple holds to measure torsion moment and lower end hangs a weight to be revolved to a certain torsion moment or torsion angle then released to rotate back and reciprocate naturally, measuring autooscillation property and torsion modulus of the sample; or lower end is holded to have forced rotation or positive and negative, measuring once of the sample. The apparatus is consisted of moving beam, force, displacement sensor, torsion moment measuring mechanism, upper and lower holder, rotation mechanism, micro polarized light optical circuit and camera mechanism, moving and focusing mechanism, temperature cap, driving system and control circuit, program control and signal processing system, finishing measurement of self excited vibration, torsional fatigue and relaxation performance of flexible material with stationary load or stretch and observing degree of twist transfer of sample in and property change under different temperature, having simple but practical structure, convenient installation, many measurable parameters and accurate measurement.