The invention is an apparatus used for measuring flexible material flexural fatigue, with property of being consisted of crank block rack mechanism, force and displacement sensor, upper and lower cartridge, optical plummet centering system, up-and-down and rotation driving system and control circuit, program and signal collection system, finishing measurement of fixed point flexural fatigue and relaxation creep behaviour of flexible material with stationary load and stretch effectively and accurately. The index property measured are endurance failure time, endurance limit strength and limiting strain, relaxation time, sample thickness or diameter. The apparatus has simple but practical structure, convenient installation and replacement, many tunable parameters containing sample length, fixed points position and their distance, bending rotational angle and angular frequency, original load and stretch, accurate measurement, and can avoid influence of move of application point in bending, offset of sample and vibration.