For seeking a solution to solve of the discreteness of rock parameters, on the basis of the testing results of uniaxial compression, fatigue deformation properties of granite and white sandstone, a new measurement method of the critical stress of rock is put forward. The method is first based on the different peak stress-stain curves, which is grouped, and then fatigue testing is performed at different heights, at low stress levels. According to testing results, steady and unsteady state curves can be drawn and both curves crossover point is found. Its two important parameters, i.e. stress and...